:@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
1.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
Paso 1.:@0.290883:0.676750:0.343133:0.676750:0.343133:0.661172:0.290883:0.661172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribimos los datos del problema.:@0.346517:0.676750:0.577446:0.676750:0.577446:0.661851:0.346517:0.661851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.291338:0.698952:0.299815:0.698952:0.299815:0.684079:0.291338:0.684079:0.000000
primer desplazamiento.:@0.303936:0.698965:0.461372:0.698965:0.461372:0.684066:0.303936:0.684066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.504814:0.699113:0.511850:0.699113:0.511850:0.684240:0.504814:0.684240:0.000000
segundo desplazamiento.:@0.516038:0.698963:0.688266:0.698963:0.688266:0.684064:0.516038:0.684064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w:@0.727155:0.699113:0.738731:0.699113:0.738731:0.684240:0.727155:0.684240:0.000000
 tercer desplazamiento.:@0.739435:0.698963:0.894445:0.698963:0.894445:0.684064:0.739435:0.684064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z = u:@0.291595:0.718827:0.324558:0.718667:0.324558:0.703793:0.291595:0.703953:0.000000:0.000000:0.000000:0.000000:0.000000
 + :@0.325011:0.718680:0.342333:0.718680:0.342333:0.703781:0.325011:0.703781:0.000000:0.000000:0.000000
v + w:@0.343514:0.718827:0.380027:0.718827:0.380027:0.703953:0.343514:0.703953:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.290888:0.736932:0.343139:0.736932:0.343139:0.721354:0.290888:0.721354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gracamos los vectores, uno a :@0.346522:0.736932:0.552123:0.736932:0.552123:0.722033:0.346522:0.722033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.373578:0.736932:0.377246:0.736932:0.377246:0.722033:0.373578:0.722033:0.000000
continuación de otro, y trazamos el vector :@0.290888:0.752019:0.574737:0.752019:0.574737:0.737120:0.290888:0.737120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultante  .:@0.290888:0.767107:0.370594:0.767107:0.370594:0.752208:0.290888:0.752208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.361095:0.767107:0.367679:0.767107:0.367679:0.752233:0.361095:0.752233:0.000000
Paso 3.:@0.600673:0.736932:0.652924:0.736932:0.652924:0.721354:0.600673:0.721354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obtenemos las norma del vector  .:@0.656308:0.736932:0.888458:0.736932:0.888458:0.722033:0.656308:0.722033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.878959:0.736932:0.885543:0.736932:0.885543:0.722058:0.878959:0.722058:0.000000
Grá camente:@0.600673:0.759148:0.690883:0.759148:0.690883:0.744249:0.600673:0.744249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.604630:0.767573:0.611430:0.767573:0.611430:0.752499:0.604630:0.752499:0.000000
:@0.609530:0.791619:0.616330:0.791619:0.616330:0.776545:0.609530:0.776545:0.000000
:@0.609530:0.813962:0.616330:0.813962:0.616330:0.798888:0.609530:0.798888:0.000000
z:@0.603924:0.774915:0.610442:0.774915:0.610442:0.760190:0.603924:0.760190:0.000000
z:@0.608817:0.798963:0.615335:0.798963:0.615335:0.784238:0.608817:0.784238:0.000000
z:@0.608817:0.821306:0.615335:0.821306:0.615335:0.806581:0.608817:0.806581:0.000000
=:@0.615086:0.774541:0.624191:0.774541:0.624191:0.759293:0.615086:0.759293:0.000000
(:@0.626822:0.776122:0.632345:0.776122:0.632345:0.756636:0.626822:0.756636:0.000000
):@0.655564:0.776122:0.661086:0.776122:0.661086:0.756636:0.655564:0.756636:0.000000
=:@0.624890:0.798595:0.633995:0.798595:0.633995:0.783347:0.624890:0.783347:0.000000
+:@0.661311:0.798595:0.670416:0.798595:0.670416:0.783347:0.661311:0.783347:0.000000
=:@0.624890:0.820943:0.633995:0.820943:0.633995:0.805695:0.624890:0.805695:0.000000
13:@0.632138:0.774926:0.655025:0.774926:0.655025:0.760176:0.632138:0.760176:0.000000:0.000000
1:@0.646846:0.798968:0.654939:0.798968:0.654939:0.784218:0.646846:0.784218:0.000000
3:@0.672768:0.798968:0.680862:0.798968:0.680862:0.784218:0.672768:0.784218:0.000000
10:@0.646846:0.821317:0.662950:0.821317:0.662950:0.806567:0.646846:0.806567:0.000000:0.000000
2:@0.652406:0.792072:0.657097:0.792072:0.657097:0.783524:0.652406:0.783524:0.000000
2:@0.680626:0.792072:0.685317:0.792072:0.685317:0.783524:0.680626:0.783524:0.000000
, :@0.637612:0.774922:0.646386:0.774922:0.646386:0.760172:0.637612:0.760172:0.000000:0.000000
La distancia que hay entre el punto de :@0.600673:0.850636:0.859478:0.850636:0.859478:0.835737:0.600673:0.835737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
partida y el último sitio es de :@0.600673:0.865723:0.795738:0.865723:0.795738:0.850824:0.600673:0.850824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10 km:@0.803211:0.865832:0.843992:0.865832:0.843992:0.851081:0.803211:0.851081:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos paso a paso :@0.285120:0.587417:0.443480:0.587417:0.443480:0.572053:0.285120:0.572053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.285120:0.615020:0.299346:0.615020:0.299346:0.598119:0.285120:0.598119:0.000000:0.000000
  Regresamos a nuestro problema inicial, y respondemos la pregunta. :@0.299346:0.615020:0.813807:0.615020:0.813807:0.598631:0.299346:0.598631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.285120:0.635185:0.289156:0.635185:0.289156:0.618796:0.285120:0.618796:0.000000
¿Qué distancia en línea recta la separa del punto de partida?:@0.313613:0.635185:0.754485:0.635185:0.754485:0.618796:0.313613:0.618796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.285120:0.651781:0.289156:0.651781:0.289156:0.635392:0.285120:0.635392:0.000000
Para resolver el problema empleamos los métodos del polígono y analítico.:@0.313613:0.651781:0.863597:0.651781:0.863597:0.635392:0.313613:0.635392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.306489:0.561318:0.431360:0.561318:0.431360:0.545954:0.306489:0.545954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.284894:0.562104:0.296982:0.562104:0.296982:0.544968:0.284894:0.544968:0.000000
Suma y resta de vectores por el método analítico:@0.287495:0.340294:0.777851:0.340294:0.777851:0.318784:0.287495:0.318784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si tenemos dos vectores:   = ( ,  ) y   = ( ,  ) la suma es:   +   = (  +  ,   +  ):@0.287495:0.363075:0.850629:0.363070:0.850629:0.346681:0.287495:0.346686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.473040:0.362973:0.482364:0.362973:0.482364:0.346611:0.473040:0.346611:0.000000
a b:@0.506376:0.363070:0.532156:0.363070:0.532156:0.346708:0.506376:0.346708:0.000000:0.000000:0.000000
v:@0.553209:0.362973:0.560948:0.362973:0.560948:0.346611:0.553209:0.346611:0.000000
c d:@0.586544:0.363070:0.610721:0.363070:0.610721:0.346708:0.586544:0.346708:0.000000:0.000000:0.000000
u:@0.703142:0.362973:0.712467:0.362973:0.712467:0.346611:0.703142:0.346611:0.000000
v:@0.731586:0.362973:0.739326:0.362973:0.739326:0.346611:0.731586:0.346611:0.000000
a:@0.764922:0.363070:0.774191:0.363070:0.774191:0.346708:0.764922:0.346708:0.000000
c b:@0.793245:0.363070:0.817422:0.363070:0.817422:0.346708:0.793245:0.346708:0.000000:0.000000:0.000000
d:@0.836477:0.363070:0.845746:0.363070:0.845746:0.346708:0.836477:0.346708:0.000000
Propiedades de la adición:@0.287495:0.395751:0.510376:0.395751:0.510376:0.377314:0.287495:0.377314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.302646:0.429142:0.377781:0.429142:0.377781:0.413778:0.302646:0.413778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresión:@0.455596:0.429142:0.527061:0.429142:0.527061:0.413778:0.455596:0.413778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.294454:0.452565:0.384765:0.452565:0.384765:0.437453:0.294454:0.437453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.397884:0.453047:0.406360:0.453047:0.406360:0.438173:0.397884:0.438173:0.000000
 + :@0.406813:0.453060:0.424135:0.453060:0.424135:0.438161:0.406813:0.438161:0.000000:0.000000:0.000000
v = v + u:@0.425316:0.453207:0.484535:0.453047:0.484535:0.438173:0.425316:0.438333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asociativa:@0.294446:0.477514:0.365392:0.477514:0.365392:0.462401:0.294446:0.462401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.401291:0.468816:0.379067:0.468816:0.379067:0.453742:0.401291:0.453742:0.000000
:@0.430315:0.468816:0.408091:0.468816:0.408091:0.453742:0.430315:0.453742:0.000000
:@0.456038:0.468816:0.425289:0.468816:0.425289:0.453742:0.456038:0.453742:0.000000
:@0.493586:0.468816:0.462838:0.468816:0.462838:0.453742:0.493586:0.453742:0.000000
:@0.516539:0.468816:0.492143:0.468816:0.492143:0.453742:0.516539:0.453742:0.000000
:@0.547736:0.468816:0.523339:0.468816:0.523339:0.453742:0.547736:0.453742:0.000000
u:@0.399400:0.476160:0.407792:0.476160:0.407792:0.461434:0.399400:0.461434:0.000000
v w:@0.428706:0.476160:0.463683:0.476160:0.463683:0.461434:0.428706:0.461434:0.000000:0.000000:0.000000
v u:@0.491994:0.476160:0.523041:0.476160:0.523041:0.461434:0.491994:0.461434:0.000000:0.000000:0.000000
w:@0.543904:0.476160:0.555365:0.476160:0.555365:0.461434:0.543904:0.461434:0.000000
+:@0.411176:0.475786:0.420281:0.475786:0.420281:0.460538:0.411176:0.460538:0.000000
=:@0.440763:0.475786:0.449868:0.475786:0.449868:0.460538:0.440763:0.460538:0.000000
(:@0.422635:0.477366:0.428158:0.477366:0.428158:0.457879:0.422635:0.457879:0.000000
) (:@0.465789:0.477366:0.491434:0.477366:0.491434:0.457879:0.465789:0.457879:0.000000:0.000000:0.000000
=:@0.474179:0.475792:0.483284:0.475792:0.483284:0.460544:0.474179:0.460544:0.000000
+:@0.503485:0.475792:0.512590:0.475792:0.512590:0.460544:0.503485:0.460544:0.000000
):@0.524918:0.477366:0.530441:0.477366:0.530441:0.457879:0.524918:0.457879:0.000000
+:@0.532745:0.475792:0.541851:0.475792:0.541851:0.460544:0.532745:0.460544:0.000000
Propiedad:@0.643246:0.429142:0.718380:0.429142:0.718380:0.413778:0.643246:0.413778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresión:@0.791806:0.429142:0.863272:0.429142:0.863272:0.413778:0.791806:0.413778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elemento neutro:@0.616643:0.453018:0.733992:0.453018:0.733992:0.437905:0.616643:0.437905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.760293:0.446782:0.789184:0.444454:0.789184:0.429380:0.760293:0.431708:0.000000:0.000000:0.000000
:@0.806184:0.446782:0.812983:0.446782:0.812983:0.431708:0.806184:0.431708:0.000000
u:@0.758403:0.454125:0.766795:0.454125:0.766795:0.439400:0.758403:0.439400:0.000000
u:@0.804293:0.454125:0.812685:0.454125:0.812685:0.439400:0.804293:0.439400:0.000000
+=:@0.770178:0.453752:0.801955:0.453752:0.801955:0.438504:0.770178:0.438504:0.000000:0.000000
0:@0.781621:0.454125:0.789715:0.454125:0.789715:0.439375:0.781621:0.439375:0.000000
Elemento opuesto:@0.616647:0.478407:0.744650:0.478407:0.744650:0.463294:0.616647:0.463294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.756886:0.479222:0.765363:0.479222:0.765363:0.464348:0.756886:0.464348:0.000000
 + (– ) = :@0.765815:0.479234:0.827105:0.479234:0.827105:0.464335:0.765815:0.464335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.796415:0.479222:0.804892:0.479222:0.804892:0.464348:0.796415:0.464348:0.000000
0:@0.827934:0.479382:0.835674:0.479382:0.835674:0.464509:0.827934:0.464509:0.000000
Para restar vectores, se suma el primer vector con el opuesto del segundo vector.:@0.287495:0.511284:0.879216:0.511284:0.879216:0.494895:0.287495:0.494895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u v:@0.287495:0.534906:0.321910:0.534906:0.321910:0.518545:0.287495:0.518545:0.000000:0.000000:0.000000
 –   = (  –  ,   –  ):@0.296894:0.535003:0.429675:0.535003:0.429675:0.518614:0.296894:0.518614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a c b d:@0.347506:0.535003:0.424791:0.535003:0.424791:0.518642:0.347506:0.518642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.309389:0.480398:0.309389:0.480398:0.294025:0.306727:0.294025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.310175:0.297460:0.310175:0.297460:0.293039:0.284892:0.293039:0.000000
Pienso y progreso:@0.294883:0.257183:0.417347:0.257183:0.417347:0.241819:0.294883:0.241819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué es importante conocer los puntos cardinales para ubicarse?:@0.294883:0.275834:0.751967:0.275834:0.751967:0.260935:0.294883:0.260935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Amelia viaja en su auto, sale de Quito y recorre 4 km al este y 2 km al norte, ahí se :@0.287495:0.168345:0.907759:0.168345:0.907759:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
detiene para poner combustible. A partir de este punto, avanza 1 km al este y 3 km al :@0.287495:0.184941:0.907692:0.184941:0.907692:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
norte, y descansa de nuevo. Luego avanza 4 km al oeste y 2 km al sur. :@0.287495:0.201538:0.798300:0.201538:0.798300:0.185149:0.287495:0.185149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué distancia en línea recta le separa del punto de partida?:@0.287495:0.225257:0.728941:0.225257:0.728941:0.208868:0.287495:0.208868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adición y sustracción de vectores:@0.286308:0.075160:0.774124:0.075160:0.774124:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
¿Qué es un vector?:@0.117718:0.192000:0.244163:0.192000:0.244163:0.177101:0.117718:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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
©Shutterstock:@0.068421:0.285865:0.068421:0.243040:0.056510:0.243040:0.056510:0.285865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los puntos cardinales :@0.125282:0.379168:0.253996:0.379168:0.253996:0.365759:0.125282:0.365759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
facilitan la navegación. :@0.119794:0.391740:0.253997:0.391740:0.253997:0.378331:0.119794:0.378331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.354364:0.783595:0.359805:0.783595:0.359805:0.771696:0.354364:0.771696:0.000000
3er. desplazamiento:@0.380991:0.797663:0.474533:0.797663:0.474533:0.787234:0.380991:0.787234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z u v w:@0.320798:0.874822:0.379337:0.874822:0.379337:0.864411:0.320798:0.864411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 =   +   + :@0.325289:0.874822:0.371351:0.874822:0.371351:0.864393:0.325289:0.864393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1er. desplazamiento:@0.427405:0.886053:0.520947:0.886053:0.520947:0.875623:0.427405:0.875623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2do. desplazamiento:@0.450741:0.844714:0.548071:0.844714:0.548071:0.834285:0.450741:0.834285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.537076:0.906725:0.542504:0.906725:0.542504:0.894826:0.537076:0.894826:0.000000
4:@0.350392:0.829369:0.356932:0.829369:0.356932:0.817449:0.350392:0.817449:0.000000
5:@0.350392:0.811505:0.356932:0.811505:0.356932:0.799586:0.350392:0.799586:0.000000
2:@0.350392:0.865008:0.356932:0.865008:0.356932:0.853089:0.350392:0.853089:0.000000
1:@0.350523:0.882828:0.357063:0.882828:0.357063:0.870909:0.350523:0.870909:0.000000
0:@0.348419:0.895622:0.354959:0.895622:0.354959:0.883703:0.348419:0.883703:0.000000
–1:@0.336701:0.910066:0.349942:0.910066:0.349942:0.898147:0.336701:0.898147:0.000000:0.000000
2:@0.411282:0.910066:0.417822:0.910066:0.417822:0.898147:0.411282:0.898147:0.000000
1:@0.387534:0.910066:0.394074:0.910066:0.394074:0.898147:0.387534:0.898147:0.000000
4:@0.458769:0.910066:0.465309:0.910066:0.465309:0.898147:0.458769:0.898147:0.000000
3:@0.435020:0.910066:0.441561:0.910066:0.441561:0.898147:0.435020:0.898147:0.000000
6:@0.506257:0.910066:0.512797:0.910066:0.512797:0.898147:0.506257:0.898147:0.000000
5:@0.482508:0.910066:0.489049:0.910066:0.489049:0.898147:0.482508:0.898147:0.000000
3:@0.350513:0.847191:0.357053:0.847191:0.357053:0.835272:0.350513:0.835272:0.000000
u:@0.413762:0.874478:0.420543:0.874478:0.420543:0.862579:0.413762:0.862579:0.000000
v:@0.462839:0.833772:0.468468:0.833772:0.468468:0.821873:0.462839:0.821873:0.000000
w:@0.429013:0.816471:0.438274:0.816471:0.438274:0.804572:0.429013:0.804572:0.000000
z:@0.387092:0.876892:0.392359:0.876892:0.392359:0.864993:0.387092:0.864993:0.000000
A:@0.467642:0.870168:0.473940:0.870168:0.473940:0.859756:0.467642:0.859756:0.000000
D:@0.370979:0.908435:0.378320:0.908435:0.378320:0.898023:0.370979:0.898023:0.000000
B:@0.492397:0.793836:0.498026:0.793836:0.498026:0.783424:0.492397:0.783424:0.000000
C:@0.376104:0.842759:0.383314:0.842759:0.383314:0.830860:0.376104:0.830860:0.000000
Método del polígono:@0.096359:0.485842:0.244165:0.485842:0.244165:0.470730:0.096359:0.470730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consiste en determinar :@0.088937:0.504488:0.247831:0.504488:0.247831:0.489589:0.088937:0.489589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una escala adecuada para :@0.072135:0.519576:0.247834:0.519576:0.247834:0.504677:0.072135:0.504677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los ejes coordenados y :@0.092841:0.534663:0.247832:0.534663:0.247832:0.519764:0.092841:0.519764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colocar los vectores uno a :@0.071163:0.549751:0.247832:0.549751:0.247832:0.534852:0.071163:0.534852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continuación del otro. El :@0.082304:0.564839:0.247832:0.564839:0.247832:0.549940:0.082304:0.549940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
origen de uno de los :@0.105824:0.579926:0.247834:0.579926:0.247834:0.565027:0.105824:0.565027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vectores es el extremo del :@0.070074:0.595014:0.247831:0.595014:0.247831:0.580115:0.070074:0.580115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vector anterior. El vector :@0.083158:0.610102:0.247832:0.610102:0.247832:0.595203:0.083158:0.595203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultante es la unión del :@0.077362:0.625189:0.247832:0.625189:0.247832:0.610290:0.077362:0.610290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
origen del primer vector :@0.081918:0.640277:0.247831:0.640277:0.247831:0.625378:0.081918:0.625378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el punto final del :@0.102524:0.655364:0.247832:0.655364:0.247832:0.640465:0.102524:0.640465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
último vector :@0.154573:0.670452:0.247832:0.670452:0.247832:0.655553:0.154573:0.655553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(cabeza-cola).:@0.152764:0.685540:0.244164:0.685540:0.244164:0.670641:0.152764:0.670641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Método del :@0.163569:0.704185:0.247717:0.704185:0.247717:0.689073:0.163569:0.689073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paralelogramo :@0.141691:0.719273:0.247715:0.719273:0.247715:0.704160:0.141691:0.704160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para sumar vectores por el :@0.068885:0.737919:0.247832:0.737919:0.247832:0.723020:0.068885:0.723020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
método del :@0.165848:0.753006:0.247834:0.753006:0.247834:0.738107:0.165848:0.738107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paralelogramo, se toman :@0.077847:0.768094:0.247832:0.768094:0.247832:0.753195:0.077847:0.753195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos vectores con origen :@0.083476:0.783182:0.247832:0.783182:0.247832:0.768283:0.083476:0.768283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el eje de coordenadas, :@0.074061:0.798269:0.247831:0.798269:0.247831:0.783370:0.074061:0.783370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se trazan paralelas a los :@0.089256:0.813357:0.247834:0.813357:0.247834:0.798458:0.089256:0.798458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vectores y se obtiene un :@0.081449:0.828444:0.247834:0.828444:0.247834:0.813545:0.081449:0.813545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paralelogramo, cuya :@0.108839:0.843532:0.247832:0.843532:0.247832:0.828633:0.108839:0.828633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diagonal es el vector :@0.106561:0.858620:0.247832:0.858620:0.247832:0.843721:0.106561:0.843721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suma de los vectores.:@0.101653:0.873707:0.244164:0.873707:0.244164:0.858808:0.101653:0.858808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115206:0.453402:0.222747:0.453402:0.222747:0.436501:0.115206:0.436501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.3. :@0.298180:0.946788:0.346239:0.946788:0.346239:0.934496:0.298180:0.934496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sumar, restar vectores y multiplicar un escalar por un vector de forma geométrica y de forma analítica, :@0.347095:0.946788:0.906650:0.946788:0.906650:0.934868:0.347095:0.934868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicando propiedades de los números reales y de los vectores en el plano.:@0.298180:0.958103:0.696076:0.958103:0.696076:0.946184:0.298180:0.946184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000