﻿132:@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
Ubica en el plano :@0.127770:0.192000:0.247834:0.192000:0.247834:0.177101:0.127770:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cartesiano el punto (1, 3):@0.079657:0.207088:0.244164:0.207088:0.244164:0.192189:0.079657:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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
nidad de conocimientos:@0.306727:0.345823:0.480398:0.345823:0.480398:0.330459:0.306727:0.330459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.346608:0.297460:0.346608:0.297460:0.329472:0.284892:0.329472:0.000000
Cantidades escalares y vectoriales:@0.287495:0.376950:0.630238:0.376950:0.630238:0.355440:0.287495:0.355440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la naturaleza existen características o propiedades de los objetos o fenómenos :@0.287495:0.399731:0.907696:0.399731:0.907696:0.383342:0.287495:0.383342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que pueden medirse y cuantificarse, estas se llaman cantidades físicas. Y se dividen :@0.287495:0.416328:0.907727:0.416328:0.907727:0.399939:0.287495:0.399939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en dos grupos: escalares y vectoriales.:@0.287495:0.432924:0.563610:0.432924:0.563610:0.416535:0.287495:0.416535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cantidades escalares::@0.287495:0.456643:0.460492:0.456643:0.460492:0.439742:0.287495:0.439742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 para su descripción solo requieren de un valor numérico :@0.460492:0.456643:0.907709:0.456643:0.907709:0.440254:0.460492:0.440254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y una unidad de medida; por ejemplo, la temperatura, la masa o el tiempo.:@0.287495:0.473239:0.832893:0.473239:0.832893:0.456850:0.287495:0.456850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cantidades vectoriales::@0.287495:0.496958:0.471551:0.496958:0.471551:0.480058:0.287495:0.480058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 para quedar completamente definidas, a más de una mag-:@0.471551:0.496958:0.903585:0.496958:0.903585:0.480569:0.471551:0.480569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nitud y una unidad de medida, necesitan de una dirección y sentido; por ejemplo, la :@0.287495:0.513555:0.907678:0.513555:0.907678:0.497166:0.287495:0.497166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fuerza, la velocidad o el desplazamiento.:@0.287495:0.530151:0.582185:0.530151:0.582185:0.513762:0.287495:0.513762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las cantidades vectoriales se representan gráficamente con segmentos orientados :@0.287495:0.553870:0.907685:0.553870:0.907685:0.537481:0.287495:0.537481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(flechas) llamados vectores. :@0.287495:0.570466:0.491891:0.570466:0.491891:0.554077:0.287495:0.554077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Geométricamente, un vector queda definido por dos puntos: su origen en el punto :@0.287495:0.594185:0.907689:0.594185:0.907689:0.577796:0.287495:0.577796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O:@0.287495:0.610782:0.299381:0.610782:0.299381:0.594420:0.287495:0.594420:0.000000
, y el extremo en el punto  . La longitud representa su valor numérico llamado :@0.299381:0.610782:0.907654:0.610782:0.907654:0.594393:0.299381:0.594393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.505988:0.610782:0.515884:0.610782:0.515884:0.594420:0.505988:0.594420:0.000000
módulo o magnitud. El ángulo que forma el vector con el eje positivo  , en el sentido :@0.287495:0.627378:0.907711:0.627378:0.907711:0.610989:0.287495:0.610989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.795284:0.627378:0.802747:0.627378:0.802747:0.611017:0.795284:0.611017:0.000000
antihorario, representa la dirección y la punta de la flecha indica el sentido. :@0.287495:0.643974:0.836676:0.643974:0.836676:0.627586:0.287495:0.627586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En forma analítica o algebraica, un vector está definido por un par ordenado::@0.287495:0.667693:0.848593:0.667693:0.848593:0.651305:0.287495:0.651305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.558137:0.693960:0.568033:0.693960:0.568033:0.677598:0.558137:0.677598:0.000000
a a:@0.589390:0.693960:0.622265:0.693960:0.622265:0.677598:0.589390:0.677598:0.000000:0.000000:0.000000
:@0.558712:0.682667:0.566267:0.682667:0.566267:0.666610:0.558712:0.666610:0.000000
=:@0.571172:0.694637:0.581289:0.694637:0.581289:0.679064:0.571172:0.679064:0.000000
(, :@0.583887:0.693960:0.613005:0.693960:0.613005:0.677571:0.583887:0.677571:0.000000:0.000000:0.000000
):@0.629385:0.693960:0.634268:0.693960:0.634268:0.677571:0.629385:0.677571:0.000000
1:@0.597505:0.695963:0.602717:0.695963:0.602717:0.686465:0.597505:0.686465:0.000000
2:@0.621801:0.695963:0.627013:0.695963:0.627013:0.686465:0.621801:0.686465:0.000000
en donde   y   son las componentes del vector, y el módulo o norma se determina :@0.287499:0.720403:0.907622:0.720407:0.907622:0.704018:0.287499:0.704014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.362610:0.720403:0.371879:0.720403:0.371879:0.704042:0.362610:0.704042:0.000000
1:@0.371884:0.723571:0.377127:0.723571:0.377127:0.714016:0.371884:0.714016:0.000000
a:@0.392865:0.720407:0.402134:0.720407:0.402134:0.704046:0.392865:0.704046:0.000000
2:@0.402142:0.723571:0.407385:0.723571:0.407385:0.714016:0.402142:0.714016:0.000000
mediante la expresión::@0.287495:0.737003:0.453305:0.737003:0.453305:0.720615:0.287495:0.720615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.547667:0.765757:0.557562:0.765757:0.557562:0.749395:0.547667:0.749395:0.000000
a:@0.591948:0.765757:0.601218:0.765757:0.601218:0.749395:0.591948:0.749395:0.000000
a:@0.626924:0.765757:0.636193:0.765757:0.636193:0.749395:0.626924:0.749395:0.000000
:@0.548241:0.754464:0.555797:0.754464:0.555797:0.738407:0.548241:0.738407:0.000000
=:@0.566153:0.766441:0.576270:0.766441:0.576270:0.750868:0.566153:0.750868:0.000000
+:@0.613954:0.766441:0.624071:0.766441:0.624071:0.750868:0.613954:0.750868:0.000000
1:@0.600070:0.767761:0.605282:0.767761:0.605282:0.758262:0.600070:0.758262:0.000000
2:@0.604054:0.758094:0.609265:0.758094:0.609265:0.748596:0.604054:0.748596:0.000000
2:@0.635729:0.767761:0.640941:0.767761:0.640941:0.758262:0.635729:0.758262:0.000000
2:@0.641229:0.758094:0.646441:0.758094:0.646441:0.748596:0.641229:0.748596:0.000000
Operaciones con vectores:@0.287495:0.797799:0.510454:0.797799:0.510454:0.779362:0.287495:0.779362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Suma y resta:@0.287495:0.821209:0.388790:0.821209:0.388790:0.804308:0.287495:0.804308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean los vectores :@0.287495:0.845910:0.422349:0.845910:0.422349:0.829521:0.287495:0.829521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.425019:0.846065:0.434915:0.846065:0.434915:0.830672:0.425019:0.830672:0.000000
:@0.425590:0.834766:0.433146:0.834766:0.433146:0.818709:0.425590:0.818709:0.000000
=:@0.437421:0.846743:0.447538:0.846743:0.447538:0.831170:0.437421:0.831170:0.000000
( ,  ) y :@0.450984:0.844254:0.513195:0.844250:0.513195:0.828580:0.450984:0.828584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.455867:0.844254:0.486891:0.844250:0.486891:0.828857:0.455867:0.828861:0.000000:0.000000:0.000000
1:@0.465138:0.847415:0.470381:0.847415:0.470381:0.838279:0.465138:0.838279:0.000000
2:@0.486891:0.847415:0.492133:0.847415:0.492133:0.838279:0.486891:0.838279:0.000000
B:@0.513730:0.846062:0.522575:0.846062:0.522575:0.830669:0.513730:0.830669:0.000000
:@0.514301:0.834762:0.521856:0.834762:0.521856:0.818705:0.514301:0.818705:0.000000
=:@0.526132:0.846739:0.536248:0.846739:0.536248:0.831166:0.526132:0.831166:0.000000
( ,  ):@0.541390:0.846062:0.587420:0.846065:0.587420:0.830396:0.541390:0.830392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b b:@0.546273:0.846062:0.577295:0.846065:0.577295:0.830672:0.546273:0.830669:0.000000:0.000000:0.000000
1:@0.555542:0.849229:0.560785:0.849229:0.560785:0.840094:0.555542:0.840094:0.000000
2:@0.577295:0.849229:0.582538:0.849229:0.582538:0.840094:0.577295:0.840094:0.000000
, la suma y resta se define de la siguiente :@0.587422:0.845910:0.907621:0.845910:0.907621:0.829521:0.587422:0.829521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manera::@0.287494:0.862506:0.346775:0.862506:0.346775:0.846117:0.287494:0.846117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.479401:0.888430:0.513381:0.888430:0.513381:0.872069:0.479401:0.872069:0.000000:0.000000
a:@0.535513:0.888430:0.544782:0.888430:0.544782:0.872069:0.535513:0.872069:0.000000
b a:@0.564721:0.888430:0.597246:0.888430:0.597246:0.872069:0.564721:0.872069:0.000000:0.000000:0.000000
b:@0.619396:0.888430:0.628665:0.888430:0.628665:0.872069:0.619396:0.872069:0.000000
AB A:@0.479401:0.912011:0.541023:0.912011:0.541023:0.895650:0.479401:0.895650:0.000000:0.000000:0.000000:0.000000
B:@0.571852:0.912011:0.580698:0.912011:0.580698:0.895650:0.571852:0.895650:0.000000
a:@0.607768:0.912011:0.617037:0.912011:0.617037:0.895650:0.607768:0.895650:0.000000
b a:@0.636662:0.912011:0.669177:0.912005:0.669177:0.895643:0.636662:0.895650:0.000000:0.000000:0.000000
b:@0.691014:0.912005:0.700283:0.912005:0.700283:0.895643:0.691014:0.895643:0.000000
:@0.479980:0.877138:0.513077:0.877138:0.513077:0.861081:0.479980:0.861081:0.000000:0.000000
:@0.479975:0.900712:0.512758:0.900712:0.512758:0.884655:0.479975:0.884655:0.000000:0.000000
:@0.531702:0.900712:0.498108:0.900712:0.498108:0.884655:0.531702:0.884655:0.000000
:@0.572851:0.900712:0.539257:0.900712:0.539257:0.884655:0.572851:0.884655:0.000000
+=:@0.491806:0.889108:0.527427:0.889108:0.527427:0.873535:0.491806:0.873535:0.000000:0.000000
+:@0.552009:0.889108:0.562126:0.889108:0.562126:0.873535:0.552009:0.873535:0.000000
+:@0.606665:0.889108:0.616782:0.889108:0.616782:0.873535:0.606665:0.873535:0.000000
−= +− =:@0.491806:0.912689:0.599663:0.912689:0.599663:0.897116:0.491806:0.897116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.624264:0.912689:0.634381:0.912689:0.634381:0.897116:0.624264:0.897116:0.000000
−:@0.678589:0.912689:0.688705:0.912689:0.688705:0.897116:0.678589:0.897116:0.000000
(:@0.530006:0.888430:0.534890:0.888430:0.534890:0.872041:0.530006:0.872041:0.000000
, :@0.578232:0.888430:0.587981:0.888430:0.587981:0.872041:0.578232:0.872041:0.000000:0.000000
);:@0.635394:0.888430:0.643465:0.888430:0.643465:0.872041:0.635394:0.872041:0.000000:0.000000
(:@0.555934:0.912011:0.560817:0.912011:0.560817:0.895622:0.555934:0.895622:0.000000
) (:@0.581696:0.912011:0.607145:0.912011:0.607145:0.895622:0.581696:0.895622:0.000000:0.000000:0.000000
, :@0.650155:0.912011:0.659905:0.912011:0.659905:0.895622:0.650155:0.895622:0.000000:0.000000
):@0.707022:0.912011:0.711906:0.912011:0.711906:0.895622:0.707022:0.895622:0.000000
1:@0.543635:0.890434:0.548846:0.890434:0.548846:0.880936:0.543635:0.880936:0.000000
1:@0.572480:0.890434:0.577692:0.890434:0.577692:0.880936:0.572480:0.880936:0.000000
2:@0.596766:0.890434:0.601977:0.890434:0.601977:0.880936:0.596766:0.880936:0.000000
2:@0.627812:0.890434:0.633023:0.890434:0.633023:0.880936:0.627812:0.880936:0.000000
1:@0.615872:0.914007:0.621083:0.914007:0.621083:0.904509:0.615872:0.904509:0.000000
1:@0.644408:0.914007:0.649619:0.914007:0.649619:0.904509:0.644408:0.904509:0.000000
2:@0.668703:0.914009:0.673915:0.914009:0.673915:0.904511:0.668703:0.904511:0.000000
2:@0.699439:0.914009:0.704651:0.914009:0.704651:0.904511:0.699439:0.904511:0.000000
Pienso y progreso:@0.294883:0.294426:0.417347:0.294426:0.417347:0.279062:0.294883:0.279062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Investiga acerca del espacio tridimensional. ¿Cómo se representa un punto en tres dimensiones? :@0.294883:0.313077:0.894435:0.313077:0.894435:0.298178:0.294883:0.298178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actualmente se puede ubicar la posición exacta de un vehículo mediante el Sistema :@0.287495:0.168345:0.907713:0.168345:0.907713:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Posicionamiento Global GPS.  :@0.287495:0.184941:0.529356:0.184941:0.529356:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un camión repartidor debe realizar una entrega, para llegar a su destino, el GPS le :@0.287495:0.208660:0.907753:0.208660:0.907753:0.192271:0.287495:0.192271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indica que debe dirigirse 8 km al norte, luego 6 km al este y finalmente 5 km al sur. :@0.287495:0.225257:0.895082:0.225257:0.895082:0.208868:0.287495:0.208868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.287495:0.248976:0.302403:0.248976:0.302403:0.232075:0.287495:0.232075:0.000000:0.000000
  Halla el desplazamiento total del camión:@0.302403:0.248976:0.613808:0.248976:0.613808:0.232587:0.302403:0.232587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.287495:0.269140:0.303712:0.269140:0.303712:0.252240:0.287495:0.252240:0.000000:0.000000
  ¿A qué distancia desde su punto de partida se encuentra el camión?:@0.303712:0.269140:0.816050:0.269140:0.816050:0.252751:0.303712:0.252751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 :@0.094760:0.108603:0.183816:0.108603:0.183816:0.011514:0.094760:0.011514:0.000000:0.000000
Vectores como elementos de :@0.286308:0.078354:0.718804:0.078354:0.718804:0.044801:0.286308:0.044801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.718804:0.079515:0.745414:0.079515:0.745414:0.044304:0.718804:0.044304:0.000000
2:@0.745404:0.066259:0.756104:0.066259:0.756104:0.046698:0.745404:0.046698:0.000000
©Shutterstock:@0.070380:0.294925:0.070380:0.252100:0.058469:0.252100:0.058469:0.294925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El GPS muestra el camino más :@0.072616:0.358708:0.256316:0.358708:0.256316:0.345299:0.072616:0.345299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rápido, corto o recomendado :@0.072616:0.371280:0.252711:0.371280:0.252711:0.357871:0.072616:0.357871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia un destino.:@0.072616:0.383851:0.174355:0.383851:0.174355:0.370442:0.072616:0.370442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representación :@0.132152:0.453222:0.248462:0.453222:0.248462:0.437858:0.132152:0.437858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geométrica de un vector:@0.072179:0.468309:0.244995:0.468309:0.244995:0.452945:0.072179:0.452945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o:@0.093080:0.561714:0.101456:0.561714:0.101456:0.547721:0.093080:0.547721:0.000000
x:@0.214602:0.558433:0.221386:0.558433:0.221386:0.544439:0.214602:0.544439:0.000000
y:@0.093348:0.486037:0.100149:0.486037:0.100149:0.472044:0.093348:0.472044:0.000000
A (x, y):@0.189171:0.500848:0.229695:0.500848:0.229695:0.486855:0.189171:0.486855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.126368:0.547570:0.134610:0.547570:0.134610:0.533576:0.126368:0.533576:0.000000
     Matemática:@0.116036:0.420781:0.223577:0.420781:0.223577:0.403880:0.116036:0.403880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los vectores son :@0.134782:0.647127:0.248665:0.647127:0.248665:0.632228:0.134782:0.632228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esenciales para describir :@0.083068:0.662214:0.248662:0.662214:0.248662:0.647315:0.083068:0.647315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
campos eléctricos y :@0.113255:0.677302:0.248663:0.677302:0.248663:0.662403:0.113255:0.662403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
magnéticos que son :@0.108699:0.692389:0.248665:0.692389:0.248665:0.677490:0.108699:0.677490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
magnitudes vectoriales. :@0.086937:0.707477:0.248662:0.707477:0.248662:0.692578:0.086937:0.692578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, la fuerza de :@0.081342:0.722565:0.248663:0.722565:0.248663:0.707666:0.081342:0.707666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Lorentz, que actúa sobre :@0.080823:0.737652:0.248663:0.737652:0.248663:0.722753:0.080823:0.722753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una carga en movimiento, :@0.070269:0.752740:0.248663:0.752740:0.248663:0.737841:0.070269:0.737841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
depende del producto :@0.093471:0.767827:0.248662:0.767827:0.248662:0.752928:0.093471:0.752928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vectorial entre la :@0.134397:0.782915:0.248663:0.782915:0.248663:0.768016:0.134397:0.768016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad de la carga y el :@0.077774:0.798003:0.248663:0.798003:0.248663:0.783104:0.077774:0.783104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
campo magnético. Sin :@0.095364:0.813090:0.248663:0.813090:0.248663:0.798191:0.095364:0.798191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vectores, sería imposible :@0.081979:0.828178:0.248663:0.828178:0.248663:0.813279:0.081979:0.813279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
predecir fenómenos :@0.109905:0.843265:0.248663:0.843265:0.248663:0.828366:0.109905:0.828366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como las ondas :@0.140378:0.858353:0.248665:0.858353:0.248665:0.843454:0.140378:0.843454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
electromagnéticas (luz, :@0.091058:0.873441:0.248663:0.873441:0.248663:0.858542:0.091058:0.858542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radio, etc.) o el :@0.148871:0.888528:0.248665:0.888528:0.248665:0.873629:0.148871:0.873629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funcionamiento de :@0.117041:0.903616:0.248663:0.903616:0.248663:0.888717:0.117041:0.888717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
motores eléctricos :@0.121749:0.918704:0.248663:0.918704:0.248663:0.903805:0.121749:0.903805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.092117:0.617966:0.245820:0.617966:0.245820:0.601065:0.092117:0.601065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000