146:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
Ingresa al link :@0.154664:0.801885:0.248427:0.801885:0.248427:0.786986:0.154664:0.786986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/12mtc09:@0.134343:0.816973:0.244757:0.816973:0.244757:0.801847:0.134343:0.801847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Practica lo aprendido.:@0.100973:0.835619:0.244757:0.835619:0.244757:0.820720:0.100973:0.820720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.146708:0.769161:0.197179:0.769161:0.197179:0.752261:0.146708:0.752261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué pasa si dos rectas :@0.090546:0.192000:0.247831:0.192000:0.247831:0.177101:0.090546:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen la misma :@0.137989:0.207088:0.247835:0.207088:0.247835:0.192189:0.137989:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pendiente?:@0.168512:0.222175:0.244164:0.222175:0.244164:0.207276:0.168512:0.207276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación vectorial de la recta:@0.287495:0.462992:0.581009:0.462992:0.581009:0.441482:0.287495:0.441482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean dos vectores :@0.287495:0.488278:0.424153:0.488278:0.424153:0.471889:0.287495:0.471889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.423733:0.488289:0.433057:0.488289:0.433057:0.471928:0.423733:0.471928:0.000000
x y:@0.456147:0.488289:0.489219:0.488289:0.489219:0.471928:0.456147:0.471928:0.000000:0.000000:0.000000
v:@0.519533:0.488289:0.527272:0.488289:0.527272:0.471928:0.519533:0.471928:0.000000
ab:@0.550213:0.488289:0.578758:0.488289:0.578758:0.471928:0.550213:0.471928:0.000000:0.000000
:@0.425034:0.476990:0.337098:0.476990:0.337098:0.460933:0.425034:0.460933:0.000000
:@0.520526:0.476990:0.432590:0.476990:0.432590:0.460933:0.520526:0.460933:0.000000
=:@0.436754:0.488967:0.351637:0.488967:0.351637:0.473394:0.436754:0.473394:0.000000
=:@0.531988:0.488967:0.446871:0.488967:0.446871:0.473394:0.531988:0.473394:0.000000
(,:@0.449489:0.488289:0.475214:0.488289:0.475214:0.471900:0.449489:0.471900:0.000000:0.000000
):@0.497916:0.488289:0.502799:0.488289:0.502799:0.471900:0.497916:0.471900:0.000000
( ,), la recta que pasa por el extremo del vector :@0.544722:0.488289:0.907667:0.488278:0.907667:0.471889:0.544722:0.471900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.464411:0.490293:0.469622:0.490293:0.469622:0.480795:0.464411:0.480795:0.000000
0:@0.490010:0.490293:0.495222:0.490293:0.495222:0.480795:0.490010:0.480795:0.000000
y :@0.507136:0.488289:0.519225:0.488289:0.519225:0.471900:0.507136:0.471900:0.000000:0.000000
 :@0.565460:0.488289:0.569495:0.488289:0.569495:0.471900:0.565460:0.471900:0.000000
u:@0.286887:0.507497:0.296212:0.507497:0.296212:0.491136:0.286887:0.491136:0.000000
:@0.288196:0.496198:0.295751:0.496198:0.295751:0.480141:0.288196:0.480141:0.000000
 y es paralela al vector  , llamado vector de dirección, tiene por ecuación::@0.296280:0.507609:0.829769:0.507609:0.829769:0.491220:0.296280:0.491220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.459993:0.508017:0.467733:0.508017:0.467733:0.491656:0.459993:0.491656:0.000000
:@0.460988:0.496718:0.468544:0.496718:0.468544:0.480661:0.460988:0.480661:0.000000
xt:@0.555100:0.533849:0.573786:0.533849:0.573786:0.517487:0.555100:0.517487:0.000000:0.000000
utv:@0.595934:0.533849:0.634562:0.533849:0.634562:0.517487:0.595934:0.517487:0.000000:0.000000:0.000000
:@0.555100:0.522556:0.520511:0.522556:0.520511:0.506499:0.555100:0.506499:0.000000
:@0.597244:0.522556:0.562655:0.522556:0.562655:0.506499:0.597244:0.506499:0.000000
:@0.627815:0.522556:0.635371:0.522556:0.635371:0.506499:0.627815:0.506499:0.000000
():@0.563476:0.533849:0.580245:0.533849:0.580245:0.517460:0.563476:0.517460:0.000000:0.000000
=+:@0.583212:0.534526:0.618464:0.534526:0.618464:0.518953:0.583212:0.518953:0.000000:0.000000
llamada ecuación vectorial, donde :@0.287495:0.560050:0.543028:0.560050:0.543028:0.543661:0.287495:0.543661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xt:@0.543579:0.560169:0.562265:0.560169:0.562265:0.544776:0.543579:0.544776:0.000000:0.000000
:@0.543579:0.548870:0.551135:0.548870:0.551135:0.532813:0.543579:0.532813:0.000000
():@0.551964:0.560169:0.568733:0.560169:0.568733:0.544499:0.551964:0.544499:0.000000:0.000000
 es un punto genérico de la recta y :@0.568441:0.560050:0.826664:0.560050:0.826664:0.543661:0.568441:0.543661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.826664:0.560050:0.832045:0.560050:0.832045:0.543688:0.826664:0.543688:0.000000
∈ℝ:@0.832045:0.560631:0.860700:0.560631:0.860700:0.543025:0.832045:0.543025:0.000000:0.000000
.:@0.860700:0.560050:0.863907:0.560050:0.863907:0.543661:0.860700:0.543661:0.000000
Ecuación paramétrica:@0.287495:0.589244:0.506008:0.589244:0.506008:0.567734:0.287495:0.567734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si escribimos la ecuación vectorial ( ,  ) = ( ,  ) +  ( ,  ) y separamos las componen-:@0.287495:0.612025:0.903612:0.612025:0.903612:0.595636:0.287495:0.595636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.545611:0.612025:0.567724:0.612025:0.567724:0.595664:0.545611:0.595664:0.000000:0.000000:0.000000
x y:@0.596324:0.612025:0.623661:0.612025:0.623661:0.595664:0.596324:0.595664:0.000000:0.000000:0.000000
0:@0.603804:0.615189:0.609047:0.615189:0.609047:0.605634:0.603804:0.605634:0.000000
0:@0.623667:0.615189:0.628910:0.615189:0.628910:0.605634:0.623667:0.605634:0.000000
t a b:@0.652627:0.612025:0.688580:0.612025:0.688580:0.595664:0.652627:0.595664:0.000000:0.000000:0.000000:0.000000:0.000000
tes, tenemos la ecuación paramétrica de la recta::@0.287484:0.628622:0.643721:0.628622:0.643721:0.612233:0.287484:0.612233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.561657:0.650687:0.569120:0.650687:0.569120:0.635294:0.561657:0.635294:0.000000
x:@0.588303:0.650687:0.595766:0.650687:0.595766:0.635294:0.588303:0.635294:0.000000
at:@0.619169:0.650687:0.633893:0.650687:0.633893:0.635294:0.619169:0.635294:0.000000:0.000000
y:@0.561657:0.671433:0.569138:0.671433:0.569138:0.656040:0.561657:0.656040:0.000000
y:@0.588561:0.671433:0.596043:0.671433:0.596043:0.656040:0.588561:0.656040:0.000000
bt:@0.619446:0.671433:0.634170:0.671433:0.634170:0.656040:0.619446:0.656040:0.000000:0.000000
=⎧:@0.573856:0.651365:0.560035:0.652568:0.560035:0.636995:0.573856:0.635792:0.000000:0.000000
+:@0.606786:0.651365:0.583973:0.651365:0.583973:0.635792:0.606786:0.635792:0.000000
=:@0.573856:0.672110:0.550784:0.672110:0.550784:0.656537:0.573856:0.656537:0.000000
+:@0.607044:0.672110:0.583973:0.672110:0.583973:0.656537:0.607044:0.656537:0.000000
⎨:@0.550932:0.664130:0.560035:0.664130:0.560035:0.648557:0.550932:0.648557:0.000000
⎩:@0.550932:0.675720:0.560035:0.675720:0.560035:0.660147:0.550932:0.660147:0.000000
0:@0.596574:0.652691:0.601785:0.652691:0.601785:0.643610:0.596574:0.643610:0.000000
0:@0.596841:0.673427:0.602053:0.673427:0.602053:0.664345:0.596841:0.664345:0.000000
Ecuación cartesiana:@0.287495:0.704810:0.487855:0.704810:0.487855:0.683300:0.287495:0.683300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación cartesiana de la recta se obtiene eliminando el parámetro   en la ecuación :@0.287495:0.727591:0.907678:0.727591:0.907678:0.711202:0.287495:0.711202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.790918:0.727591:0.796299:0.727591:0.796299:0.711230:0.790918:0.711230:0.000000
paramétrica::@0.287495:0.744188:0.378766:0.744188:0.378766:0.727799:0.287495:0.727799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.423594:0.771050:0.431057:0.771050:0.431057:0.754689:0.423594:0.754689:0.000000
x:@0.450240:0.771050:0.457703:0.771050:0.457703:0.754689:0.450240:0.754689:0.000000
ta:@0.481125:0.771050:0.495848:0.771050:0.495848:0.754689:0.481125:0.754689:0.000000:0.000000
t:@0.519546:0.771050:0.524927:0.771050:0.524927:0.754689:0.519546:0.754689:0.000000
xx:@0.545362:0.762132:0.578218:0.762132:0.578218:0.745771:0.545362:0.745771:0.000000:0.000000
a:@0.560657:0.781895:0.569926:0.781895:0.569926:0.765534:0.560657:0.765534:0.000000
y:@0.603524:0.771050:0.611006:0.771050:0.611006:0.754689:0.603524:0.754689:0.000000
y:@0.630429:0.771050:0.637910:0.771050:0.637910:0.754689:0.630429:0.754689:0.000000
tb:@0.661313:0.771050:0.676037:0.771050:0.676037:0.754689:0.661313:0.754689:0.000000:0.000000
t:@0.699735:0.771050:0.705116:0.771050:0.705116:0.754689:0.699735:0.754689:0.000000
yy:@0.725817:0.762132:0.758950:0.762132:0.758950:0.745771:0.725817:0.745771:0.000000:0.000000
b:@0.741001:0.781895:0.750270:0.781895:0.750270:0.765534:0.741001:0.765534:0.000000
=:@0.435791:0.771728:0.445908:0.771728:0.445908:0.756155:0.435791:0.756155:0.000000
+:@0.468721:0.771728:0.478838:0.771728:0.478838:0.756155:0.468721:0.756155:0.000000
→=:@0.499035:0.771728:0.539575:0.771728:0.539575:0.756155:0.499035:0.756155:0.000000:0.000000
−:@0.556933:0.762810:0.567049:0.762810:0.567049:0.747237:0.556933:0.747237:0.000000
=:@0.615722:0.771728:0.625839:0.771728:0.625839:0.756155:0.615722:0.756155:0.000000
+:@0.648910:0.771728:0.659027:0.771728:0.659027:0.756155:0.648910:0.756155:0.000000
→=:@0.679223:0.771728:0.719764:0.771728:0.719764:0.756155:0.679223:0.756155:0.000000:0.000000
−:@0.737386:0.762810:0.747503:0.762810:0.747503:0.747237:0.737386:0.747237:0.000000
0:@0.458512:0.773054:0.463724:0.773054:0.463724:0.763556:0.458512:0.763556:0.000000
0:@0.579021:0.764133:0.584233:0.764133:0.584233:0.754635:0.579021:0.754635:0.000000
0:@0.638699:0.773054:0.643911:0.773054:0.643911:0.763556:0.638699:0.763556:0.000000
0:@0.759732:0.764133:0.764944:0.764133:0.764944:0.754635:0.759732:0.754635:0.000000
;  :@0.589756:0.771050:0.603521:0.771050:0.603521:0.754661:0.589756:0.754661:0.000000:0.000000:0.000000
Luego igualamos::@0.287495:0.802754:0.417300:0.802754:0.417300:0.786365:0.287495:0.786365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xx:@0.544001:0.820458:0.576858:0.820458:0.576858:0.804097:0.544001:0.804097:0.000000:0.000000
a:@0.559296:0.840222:0.568565:0.840222:0.568565:0.823860:0.559296:0.823860:0.000000
yy:@0.606158:0.820458:0.639291:0.820458:0.639291:0.804097:0.606158:0.804097:0.000000:0.000000
b:@0.621342:0.840222:0.630611:0.840222:0.630611:0.823860:0.621342:0.823860:0.000000
−:@0.555592:0.821136:0.565709:0.821136:0.565709:0.805563:0.555592:0.805563:0.000000
=:@0.589965:0.830055:0.600082:0.830055:0.600082:0.814482:0.589965:0.814482:0.000000
−:@0.617712:0.821136:0.627829:0.821136:0.627829:0.805563:0.617712:0.805563:0.000000
0:@0.577664:0.822462:0.582875:0.822462:0.582875:0.812964:0.577664:0.812964:0.000000
0:@0.640065:0.822462:0.645277:0.822462:0.645277:0.812964:0.640065:0.812964:0.000000
Y obtenemos la ecuación cartesiana de la recta::@0.287495:0.861164:0.634869:0.861164:0.634869:0.844776:0.287495:0.844776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
yy:@0.531908:0.891032:0.565041:0.891032:0.565041:0.874670:0.531908:0.874670:0.000000:0.000000
b:@0.591327:0.882269:0.600596:0.882269:0.600596:0.865908:0.591327:0.865908:0.000000
a:@0.591438:0.901881:0.600707:0.901881:0.600707:0.885520:0.591438:0.885520:0.000000
xx:@0.612334:0.891038:0.645191:0.891038:0.645191:0.874677:0.612334:0.874677:0.000000:0.000000
−:@0.543477:0.891709:0.553594:0.891709:0.553594:0.876136:0.543477:0.876136:0.000000
=:@0.576665:0.891709:0.586782:0.891709:0.586782:0.876136:0.576665:0.876136:0.000000
−:@0.623895:0.891709:0.634012:0.891709:0.634012:0.876136:0.623895:0.876136:0.000000
(:@0.603839:0.893833:0.609976:0.893833:0.609976:0.873666:0.603839:0.873666:0.000000
):@0.654515:0.893833:0.660652:0.893833:0.660652:0.873666:0.654515:0.873666:0.000000
0:@0.565831:0.893035:0.571043:0.893035:0.571043:0.883537:0.565831:0.883537:0.000000
0:@0.645982:0.893035:0.651194:0.893035:0.651194:0.883537:0.645982:0.883537:0.000000
En donde  /  =  , que es la pendiente de la recta.:@0.287495:0.922821:0.656927:0.922821:0.656927:0.906433:0.287495:0.906433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b a:@0.362699:0.922821:0.387705:0.922821:0.387705:0.906460:0.362699:0.906460:0.000000:0.000000:0.000000
m:@0.406759:0.922821:0.421391:0.922821:0.421391:0.906460:0.406759:0.906460:0.000000
nidad de conocimientos:@0.306727:0.431864:0.480398:0.431864:0.480398:0.416500:0.306727:0.416500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.432651:0.297460:0.432651:0.297460:0.415515:0.284892:0.415515:0.000000
Pienso y progreso:@0.294883:0.368231:0.417347:0.368231:0.417347:0.352867:0.294883:0.352867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Averigua la expresión matemática para determinar la velocidad de un cuerpo en función :@0.294883:0.386883:0.888429:0.386883:0.888429:0.371984:0.294883:0.371984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del tiempo:@0.294883:0.401970:0.368024:0.401970:0.368024:0.387071:0.294883:0.387071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En navegación marítima, es esencial modelar la trayectoria de un barco para predecir :@0.287495:0.168345:0.907694:0.168345:0.907694:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su posición en un tiempo determinado, evitar colisiones o planificar rutas eficientes. :@0.287495:0.184941:0.904888:0.184941:0.904888:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación vectorial de la recta permite representar la posición del barco en función :@0.287495:0.208660:0.907760:0.208660:0.907760:0.192271:0.287495:0.192271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del tiempo, utilizando un punto de referencia (posición inicial) y un vector director :@0.287495:0.225257:0.907683:0.225257:0.907683:0.208868:0.287495:0.208868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(velocidad y dirección).:@0.287495:0.241853:0.455996:0.241853:0.455996:0.225464:0.287495:0.225464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un barco parte de un puerto ubicado en el punto  (2,3) y se desplaza en línea recta :@0.287495:0.265572:0.907639:0.265582:0.907639:0.249193:0.287495:0.249183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.655954:0.265572:0.664726:0.265572:0.664726:0.249211:0.655954:0.249211:0.000000
0:@0.664790:0.268746:0.670032:0.268746:0.670032:0.259191:0.664790:0.259191:0.000000
con una velocidad constante dada por el vector :@0.287494:0.284433:0.641686:0.284433:0.641686:0.268044:0.287494:0.268044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.644305:0.284693:0.652044:0.284693:0.652044:0.268332:0.644305:0.268332:0.000000
:@0.645300:0.273400:0.652855:0.273400:0.652855:0.257343:0.645300:0.257343:0.000000
=:@0.656762:0.285377:0.666879:0.285377:0.666879:0.269804:0.656762:0.269804:0.000000
−:@0.692880:0.285377:0.702997:0.285377:0.702997:0.269804:0.692880:0.269804:0.000000
(, :@0.669485:0.284693:0.689377:0.284693:0.689377:0.268304:0.669485:0.268304:0.000000:0.000000:0.000000
,) km/h.:@0.714507:0.284693:0.779091:0.284433:0.779091:0.268044:0.714507:0.268304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.673561:0.284693:0.682554:0.284693:0.682554:0.268304:0.673561:0.268304:0.000000
0:@0.705294:0.284693:0.714286:0.284693:0.714286:0.268304:0.705294:0.268304:0.000000
5:@0.719377:0.284693:0.728370:0.284693:0.728370:0.268304:0.719377:0.268304:0.000000
a):@0.287497:0.308152:0.302405:0.308152:0.302405:0.291251:0.287497:0.291251:0.000000:0.000000
  ¿Cuál es la ecuación vectorial de la recta que describe la posición  ( ) del barco en :@0.302405:0.308152:0.907587:0.308152:0.907587:0.291763:0.302405:0.291763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r t:@0.789134:0.308152:0.804687:0.308152:0.804687:0.291791:0.789134:0.291791:0.000000:0.000000:0.000000
función del tiempo   (horas)?:@0.315986:0.324748:0.527314:0.324748:0.527314:0.308359:0.315986:0.308359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.460754:0.324748:0.466135:0.324748:0.466135:0.308387:0.460754:0.308387:0.000000
b):@0.287497:0.344913:0.303713:0.344913:0.303713:0.328012:0.287497:0.328012:0.000000:0.000000
  ¿Cuál es la posición del barco después de 2 horas?:@0.303713:0.344913:0.683890:0.344913:0.683890:0.328524:0.303713:0.328524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación vectorial y paramétrica :@0.286308:0.060073:0.771839:0.060073:0.771839:0.026520:0.286308:0.026520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la recta :@0.286308:0.090250:0.445928:0.090250:0.445928:0.056698:0.286308:0.056698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
©Shutterstock:@0.070380:0.358106:0.070380:0.315280:0.058469:0.315280:0.058469:0.358106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la navegación marítima, :@0.072616:0.419070:0.237377:0.419070:0.237377:0.405661:0.072616:0.405661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los vectores se aplican para :@0.072616:0.431641:0.239248:0.431641:0.239248:0.418232:0.072616:0.418232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representar y calcular la :@0.072616:0.444213:0.216964:0.444213:0.216964:0.430804:0.072616:0.430804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dirección y magnitud del :@0.072616:0.456785:0.226190:0.456785:0.226190:0.443376:0.072616:0.443376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
movimiento de los barcos, así :@0.072616:0.469357:0.253118:0.469357:0.253118:0.455948:0.072616:0.455948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como las influencias del viento :@0.072616:0.481928:0.260685:0.481928:0.260685:0.468519:0.072616:0.468519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y las corrientes marinas.:@0.072616:0.494500:0.214624:0.494500:0.214624:0.481091:0.072616:0.481091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende esta definición:@0.085882:0.600630:0.244996:0.600630:0.244996:0.585731:0.085882:0.585731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dados dos puntos :@0.123307:0.619276:0.248663:0.619276:0.248663:0.604377:0.123307:0.604377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distintos  ,   cualesquiera :@0.073234:0.634364:0.248665:0.634364:0.248665:0.619465:0.073234:0.619465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B:@0.133660:0.634364:0.157281:0.634364:0.157281:0.619490:0.133660:0.619490:0.000000:0.000000:0.000000
en el plano, existe una :@0.096888:0.649451:0.248663:0.649451:0.248663:0.634552:0.096888:0.634552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y solo una recta   que los :@0.077439:0.664539:0.248663:0.664539:0.248663:0.649640:0.077439:0.649640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.185909:0.664539:0.192844:0.664539:0.192844:0.649665:0.185909:0.649665:0.000000
contiene.:@0.182979:0.679627:0.244996:0.679627:0.244996:0.664727:0.182979:0.664727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.116036:0.568188:0.223577:0.568188:0.223577:0.551288:0.116036:0.551288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.9. :@0.298180:0.939268:0.346239:0.939268:0.346239:0.926977:0.298180:0.926977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribir y reconocer la ecuación vectorial y paramétrica de una recta a partir de un punto de la recta y un :@0.346293:0.939268:0.906612:0.939268:0.906612:0.927349:0.346293:0.927349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vector dirección, o a partir de dos puntos de la recta.:@0.298180:0.950584:0.577753:0.950584:0.577753:0.938665:0.298180:0.938665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.10. :@0.298180:0.961900:0.353423:0.961900:0.353423:0.949609:0.298180:0.949609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificar la pendiente de una recta a partir de la ecuación vectorial de la recta, para escribir la ecuación :@0.353208:0.961900:0.906493:0.961900:0.906493:0.949981:0.353208:0.949981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cartesiana de la recta y la ecuación general de la recta.:@0.298180:0.973216:0.586624:0.973216:0.586624:0.961296:0.298180:0.961296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000