78:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
1:@0.059451:0.122645:0.071060:0.122645:0.071060:0.065614:0.059451:0.065614:0.000000
Actividad resuelta:@0.115209:0.653678:0.272331:0.653678:0.272331:0.635241:0.115209:0.635241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identifiquemos:@0.115209:0.673524:0.231985:0.673524:0.231985:0.656900:0.115209:0.656900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cuáles de los siguientes vectores tienen la misma longitud, cuáles el mismo sentido :@0.231985:0.673524:0.883973:0.673524:0.883973:0.657135:0.231985:0.657135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.879901:0.673524:0.883936:0.673524:0.883936:0.657135:0.879901:0.657135:0.000000
y cuáles son equipolentes, recuerda que equipolente significa que tiene el mismo valor numérico,  :@0.115209:0.690120:0.883936:0.690120:0.883936:0.673731:0.115209:0.673731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dirección y sentido que otro vector.:@0.115209:0.706716:0.374574:0.706716:0.374574:0.690327:0.115209:0.690327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.115209:0.730435:0.184423:0.730435:0.184423:0.713535:0.115209:0.713535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vectores en el plano. Definición de un vector  :@0.115891:0.143691:0.794011:0.143691:0.794011:0.102954:0.115891:0.102954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el plano:@0.115891:0.183937:0.274653:0.183937:0.274653:0.143200:0.115891:0.143200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.1. Graficar vectores en el plano (coordenadas) identificando sus características: dirección, sentido y longitud o norma. :@0.125388:0.069719:0.699180:0.069719:0.699180:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.2. Calcular la longitud o norma (aplicando el teorema de Pitágoras) para establecer la igualdad entre dos vectores.:@0.125388:0.080280:0.680910:0.080280:0.680910:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dirección y sentido:@0.421510:0.213594:0.573573:0.213594:0.573573:0.196693:0.421510:0.196693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.122466:0.244906:0.152448:0.244906:0.152448:0.228517:0.122466:0.228517:0.000000:0.000000:0.000000:0.000000
,:@0.172872:0.244355:0.176079:0.244355:0.176079:0.227966:0.172872:0.227966:0.000000
.:@0.177000:0.244355:0.180206:0.244355:0.180206:0.227966:0.177000:0.227966:0.000000
,:@0.261435:0.244355:0.264642:0.244355:0.264642:0.227966:0.261435:0.227966:0.000000
..:@0.265563:0.244355:0.271810:0.244355:0.271810:0.227966:0.265563:0.227966:0.000000:0.000000
,:@0.291417:0.244355:0.294624:0.244355:0.294624:0.227966:0.291417:0.227966:0.000000
.:@0.295545:0.244355:0.298751:0.244355:0.298751:0.227966:0.295545:0.227966:0.000000
.:@0.382394:0.244355:0.385601:0.244355:0.385601:0.227966:0.382394:0.227966:0.000000
(:@0.155073:0.247487:0.161209:0.247487:0.161209:0.227554:0.155073:0.227554:0.000000
):@0.190306:0.247487:0.196443:0.247487:0.196443:0.227554:0.190306:0.227554:0.000000
(:@0.273175:0.247487:0.279312:0.247487:0.279312:0.227554:0.273175:0.227554:0.000000
):@0.311597:0.247487:0.317734:0.247487:0.317734:0.227554:0.311597:0.227554:0.000000
∈:@0.199467:0.245033:0.212606:0.245033:0.212606:0.229460:0.199467:0.229460:0.000000
=:@0.238883:0.245033:0.249000:0.245033:0.249000:0.229460:0.238883:0.229460:0.000000
∈:@0.320757:0.245033:0.333896:0.245033:0.333896:0.229460:0.320757:0.229460:0.000000
=:@0.361427:0.245033:0.371544:0.245033:0.371544:0.229460:0.361427:0.229460:0.000000
 :@0.216309:0.233208:0.260038:0.233208:0.260038:0.216459:0.216309:0.216459:0.000000:0.000000:0.000000:0.000000
:@0.223109:0.233208:0.230665:0.233208:0.230665:0.216459:0.223109:0.216459:0.000000
 :@0.337600:0.233208:0.382158:0.233208:0.382158:0.216459:0.337600:0.216459:0.000000:0.000000:0.000000:0.000000
:@0.344400:0.233208:0.351955:0.233208:0.351955:0.216459:0.344400:0.216459:0.000000
AB:@0.162977:0.244355:0.189254:0.244355:0.189254:0.227994:0.162977:0.227994:0.000000:0.000000
AB u:@0.217062:0.244355:0.260883:0.244355:0.260883:0.227994:0.217062:0.227994:0.000000:0.000000:0.000000:0.000000
C D:@0.279623:0.244355:0.310527:0.244355:0.310527:0.227994:0.279623:0.227994:0.000000:0.000000:0.000000
CDv:@0.336897:0.244355:0.381426:0.244355:0.381426:0.227994:0.336897:0.227994:0.000000:0.000000:0.000000
1. :@0.122474:0.272403:0.141215:0.272403:0.141215:0.255267:0.122474:0.255267:0.000000:0.000000:0.000000
La dirección del vector   es la dirección de la recta :@0.155718:0.272403:0.534153:0.272403:0.534153:0.256014:0.155718:0.256014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.329737:0.261273:0.337292:0.261273:0.337292:0.244525:0.329737:0.244525:0.000000
u:@0.328797:0.272421:0.338121:0.272421:0.338121:0.256059:0.328797:0.256059:0.000000
L:@0.536862:0.271146:0.544491:0.271146:0.544491:0.254785:0.536862:0.254785:0.000000
AB:@0.544348:0.273150:0.555028:0.273150:0.555028:0.263667:0.544348:0.263667:0.000000:0.000000
.  El sentido del vector   es el sentido de la :@0.556859:0.271146:0.876660:0.272403:0.876660:0.256014:0.556859:0.254757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.725425:0.259995:0.732980:0.259995:0.732980:0.243246:0.725425:0.243246:0.000000
u:@0.724485:0.271142:0.733809:0.271142:0.733809:0.254781:0.724485:0.254781:0.000000
semirrecta :@0.155716:0.291517:0.236722:0.291517:0.236722:0.275128:0.155716:0.275128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.240071:0.280363:0.259088:0.280363:0.259088:0.263615:0.240071:0.263615:0.000000:0.000000
:@0.246871:0.280363:0.254426:0.280363:0.254426:0.263615:0.246871:0.263615:0.000000
AB:@0.240790:0.291510:0.259217:0.291510:0.259217:0.275149:0.240790:0.275149:0.000000:0.000000
.:@0.259475:0.291510:0.262682:0.291510:0.262682:0.275121:0.259475:0.275121:0.000000
2. :@0.122474:0.319011:0.141215:0.319011:0.141215:0.301875:0.122474:0.301875:0.000000:0.000000:0.000000
:@0.159274:0.306602:0.166830:0.306602:0.166830:0.289853:0.159274:0.289853:0.000000
u:@0.158334:0.317749:0.167659:0.317749:0.167659:0.301388:0.158334:0.301388:0.000000
 y   tienen la misma dirección y sentido si y solo si :@0.170792:0.319011:0.559797:0.319011:0.559797:0.302622:0.170792:0.302622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.192583:0.306602:0.200138:0.306602:0.200138:0.289853:0.192583:0.289853:0.000000
v:@0.191643:0.317749:0.199383:0.317749:0.199383:0.301388:0.191643:0.301388:0.000000
.:@0.612500:0.317754:0.615707:0.317754:0.615707:0.301365:0.612500:0.301365:0.000000
.:@0.625750:0.317754:0.628956:0.317754:0.628956:0.301365:0.625750:0.301365:0.000000
,:@0.650093:0.317754:0.653299:0.317754:0.653299:0.301365:0.650093:0.301365:0.000000
.:@0.654220:0.317754:0.657427:0.317754:0.657427:0.301365:0.654220:0.301365:0.000000
 :@0.629881:0.306602:0.678622:0.306602:0.678622:0.289853:0.629881:0.289853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.665151:0.306602:0.672707:0.306602:0.672707:0.289853:0.665151:0.289853:0.000000
L:@0.563605:0.317754:0.571234:0.317754:0.571234:0.301393:0.563605:0.301393:0.000000
L:@0.590620:0.317754:0.598249:0.317754:0.598249:0.301393:0.590620:0.301393:0.000000
yABCD:@0.617377:0.317754:0.678759:0.317754:0.678759:0.301393:0.617377:0.301393:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.571090:0.319756:0.581770:0.319756:0.581770:0.310274:0.571090:0.310274:0.000000:0.000000
CD:@0.597266:0.319756:0.609505:0.319756:0.609505:0.310274:0.597266:0.310274:0.000000:0.000000
 tienen el mismo sentido,  :@0.683279:0.319011:0.876640:0.319011:0.876640:0.302622:0.683279:0.302622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y viceversa.:@0.155714:0.335608:0.238289:0.335608:0.238289:0.319219:0.155714:0.319219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Igualdad:@0.276342:0.364430:0.347122:0.364430:0.347122:0.347529:0.276342:0.347529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Longitud o norma de un vector:@0.570318:0.364430:0.816673:0.364430:0.816673:0.347529:0.570318:0.347529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.125272:0.395355:0.144013:0.395355:0.144013:0.378219:0.125272:0.378219:0.000000:0.000000:0.000000
L:@0.161129:0.394088:0.168758:0.394088:0.168758:0.377727:0.161129:0.377727:0.000000
L:@0.188144:0.394088:0.195773:0.394088:0.195773:0.377727:0.188144:0.377727:0.000000
AB:@0.168615:0.396092:0.179295:0.396092:0.179295:0.386610:0.168615:0.386610:0.000000:0.000000
CD:@0.194791:0.396092:0.207030:0.396092:0.207030:0.386610:0.194791:0.386610:0.000000:0.000000
 y tienen la misma dirección.:@0.212120:0.395346:0.420354:0.395346:0.420354:0.378957:0.212120:0.378957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.125270:0.421582:0.144011:0.421582:0.144011:0.404446:0.125270:0.404446:0.000000:0.000000:0.000000
Las semirrectas :@0.158514:0.421582:0.270830:0.421582:0.270830:0.405193:0.158514:0.405193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.290784:0.421584:0.293990:0.421584:0.293990:0.405195:0.290784:0.405195:0.000000
.:@0.293769:0.421584:0.296976:0.421584:0.296976:0.405195:0.293769:0.405195:0.000000
 :@0.270576:0.410433:0.318174:0.410433:0.318174:0.393685:0.270576:0.393685:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.277375:0.410433:0.291528:0.410433:0.291528:0.393685:0.277375:0.393685:0.000000:0.000000
:@0.304703:0.410433:0.312259:0.410433:0.312259:0.393685:0.304703:0.393685:0.000000
AB CD:@0.271309:0.421584:0.318288:0.421584:0.318288:0.405223:0.271309:0.405223:0.000000:0.000000:0.000000:0.000000:0.000000
 tienen el mismo sentido.:@0.319119:0.421584:0.498180:0.421584:0.498180:0.405195:0.319119:0.405195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.125279:0.448360:0.144020:0.448360:0.144020:0.431224:0.125279:0.431224:0.000000:0.000000:0.000000
Los segmentos :@0.158522:0.448360:0.274045:0.448360:0.274045:0.431971:0.158522:0.431971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.278355:0.436672:0.297373:0.436672:0.297373:0.419923:0.278355:0.419923:0.000000:0.000000
:@0.285155:0.436672:0.292710:0.436672:0.292710:0.419923:0.285155:0.419923:0.000000
AB yCD:@0.279087:0.447823:0.335531:0.447823:0.335531:0.431462:0.279087:0.431462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.297773:0.447823:0.300979:0.447823:0.300979:0.431434:0.297773:0.431434:0.000000
.:@0.311022:0.447823:0.314229:0.447823:0.314229:0.431434:0.311022:0.431434:0.000000
 tienen la misma lon-:@0.340341:0.448362:0.498192:0.448362:0.498192:0.431973:0.340341:0.431973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gitud, además son paralelos.:@0.158515:0.464959:0.365841:0.464959:0.365841:0.448570:0.158515:0.448570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.517172:0.395973:0.547154:0.395973:0.547154:0.379584:0.517172:0.379584:0.000000:0.000000:0.000000:0.000000
,:@0.567572:0.395346:0.570778:0.395346:0.570778:0.378957:0.567572:0.378957:0.000000
.:@0.571700:0.395346:0.574906:0.395346:0.574906:0.378957:0.571700:0.378957:0.000000
.:@0.655361:0.395346:0.658568:0.395346:0.658568:0.378957:0.655361:0.378957:0.000000
(:@0.549773:0.398478:0.555909:0.398478:0.555909:0.378544:0.549773:0.378544:0.000000
):@0.585006:0.398478:0.591143:0.398478:0.591143:0.378544:0.585006:0.378544:0.000000
∈:@0.594166:0.396023:0.607305:0.396023:0.607305:0.380450:0.594166:0.380450:0.000000
=:@0.633583:0.396023:0.643700:0.396023:0.643700:0.380450:0.633583:0.380450:0.000000
 :@0.611028:0.384198:0.654757:0.384198:0.654757:0.367450:0.611028:0.367450:0.000000:0.000000:0.000000:0.000000
:@0.617828:0.384198:0.625383:0.384198:0.625383:0.367450:0.617828:0.367450:0.000000
AB:@0.557678:0.395346:0.583956:0.395346:0.583956:0.378984:0.557678:0.378984:0.000000:0.000000
AB u:@0.611763:0.395346:0.655584:0.395346:0.655584:0.378984:0.611763:0.378984:0.000000:0.000000:0.000000:0.000000
La longitud o norma de un vector   se denota :@0.517174:0.422204:0.873853:0.422209:0.873853:0.405820:0.517174:0.405815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.779540:0.411058:0.787095:0.411058:0.787095:0.394310:0.779540:0.394310:0.000000
u:@0.778600:0.422205:0.787925:0.422205:0.787925:0.405844:0.778600:0.405844:0.000000
con :@0.517167:0.445098:0.549103:0.445098:0.549103:0.428709:0.517167:0.428709:0.000000:0.000000:0.000000:0.000000
:@0.558114:0.431426:0.565669:0.431426:0.565669:0.414678:0.558114:0.414678:0.000000
u:@0.557170:0.442579:0.566495:0.442579:0.566495:0.426217:0.557170:0.426217:0.000000
 y se define como :@0.575911:0.445096:0.709622:0.445096:0.709622:0.428707:0.575911:0.428707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.718625:0.431426:0.726180:0.431426:0.726180:0.414678:0.718625:0.414678:0.000000
(:@0.759878:0.445711:0.766014:0.445711:0.766014:0.425777:0.759878:0.425777:0.000000
):@0.792126:0.445711:0.798263:0.445711:0.798263:0.425777:0.792126:0.425777:0.000000
=:@0.735377:0.443256:0.745494:0.443256:0.745494:0.427684:0.735377:0.427684:0.000000
u:@0.717687:0.442579:0.727011:0.442579:0.727011:0.426217:0.717687:0.426217:0.000000
d AB:@0.748424:0.442579:0.791084:0.442579:0.791084:0.426217:0.748424:0.426217:0.000000:0.000000:0.000000:0.000000
,. Se tiene :@0.777677:0.442579:0.868058:0.445092:0.868058:0.428703:0.777677:0.426190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que :@0.517177:0.473029:0.549923:0.473029:0.549923:0.456640:0.517177:0.456640:0.000000:0.000000:0.000000:0.000000
,:@0.664830:0.472589:0.668036:0.472589:0.668036:0.456200:0.664830:0.456200:0.000000
.:@0.668958:0.472589:0.672164:0.472589:0.672164:0.456200:0.668958:0.456200:0.000000
0.:@0.703712:0.472589:0.715708:0.472589:0.715708:0.456200:0.703712:0.456200:0.000000:0.000000
(:@0.647030:0.475721:0.653167:0.475721:0.653167:0.455788:0.647030:0.455788:0.000000
):@0.682264:0.475721:0.688400:0.475721:0.688400:0.455788:0.682264:0.455788:0.000000
=:@0.575677:0.473267:0.585794:0.473267:0.585794:0.457694:0.575677:0.457694:0.000000
=:@0.622538:0.473267:0.632655:0.473267:0.632655:0.457694:0.622538:0.457694:0.000000
≥:@0.691052:0.473267:0.701169:0.473267:0.701169:0.457694:0.691052:0.457694:0.000000
:@0.558924:0.461437:0.566480:0.461437:0.566480:0.444689:0.558924:0.444689:0.000000
 :@0.594527:0.461437:0.613544:0.461437:0.613544:0.444689:0.594527:0.444689:0.000000:0.000000:0.000000
:@0.601326:0.461437:0.608882:0.461437:0.608882:0.444689:0.601326:0.444689:0.000000
u:@0.557981:0.472589:0.567306:0.472589:0.567306:0.456228:0.557981:0.456228:0.000000
AB:@0.595260:0.472589:0.613688:0.472589:0.613688:0.456228:0.595260:0.456228:0.000000:0.000000
d AB:@0.635580:0.472589:0.681225:0.472589:0.681225:0.456228:0.635580:0.456228:0.000000:0.000000:0.000000:0.000000
•  Los vectores :@0.466027:0.796426:0.573330:0.796426:0.573330:0.780037:0.466027:0.780037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.576504:0.785278:0.656836:0.785278:0.656836:0.768529:0.576504:0.768529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.642182:0.785278:0.655079:0.785278:0.655079:0.768529:0.642182:0.768529:0.000000:0.000000
AB KL IJ NO:@0.577190:0.796425:0.656906:0.796425:0.656906:0.780063:0.577190:0.780063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,, ,:@0.595761:0.796425:0.633713:0.796425:0.633713:0.780036:0.595761:0.780036:0.000000:0.000000:0.000000:0.000000
 tienen el mismo sentido.:@0.656769:0.796429:0.841576:0.796429:0.841576:0.780040:0.656769:0.780040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Los vectores :@0.466006:0.835070:0.573308:0.835070:0.573308:0.818681:0.466006:0.818681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.576660:0.822667:0.631482:0.822667:0.631482:0.805919:0.576660:0.805919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB KL IJ:@0.577394:0.833819:0.632161:0.833819:0.632161:0.817458:0.577394:0.817458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,,  tienen la misma longitud.:@0.596869:0.833819:0.827654:0.835077:0.827654:0.818688:0.596869:0.817430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Los vectores :@0.466016:0.873719:0.573318:0.873719:0.573318:0.857330:0.466016:0.857330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.576660:0.861315:0.693215:0.861315:0.693215:0.844567:0.576660:0.844567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.583460:0.861315:0.596249:0.861315:0.596249:0.844567:0.583460:0.844567:0.000000:0.000000
:@0.611212:0.861315:0.618767:0.861315:0.618767:0.844567:0.611212:0.844567:0.000000
GH EF yABKLIJ:@0.575928:0.872468:0.693883:0.872468:0.693883:0.856106:0.575928:0.856106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.599258:0.872468:0.602464:0.872468:0.602464:0.856079:0.599258:0.856079:0.000000
.:@0.620984:0.872468:0.624190:0.872468:0.624190:0.856079:0.620984:0.856079:0.000000
.:@0.634233:0.872468:0.637440:0.872468:0.637440:0.856079:0.634233:0.856079:0.000000
,,  son equipolentes.:@0.658589:0.872468:0.833233:0.873725:0.833233:0.857336:0.658589:0.856079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–12 –10:@0.107035:0.912484:0.147574:0.912493:0.147574:0.902064:0.107035:0.902055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.279839:0.912484:0.285562:0.912484:0.285562:0.902055:0.279839:0.902055:0.000000
2:@0.248928:0.887207:0.254651:0.887207:0.254651:0.876778:0.248928:0.876778:0.000000
10:@0.246067:0.816578:0.257512:0.816578:0.257512:0.806149:0.246067:0.806149:0.000000:0.000000
6:@0.248928:0.852593:0.254651:0.852593:0.254651:0.842163:0.248928:0.842163:0.000000
14:@0.246067:0.779447:0.257512:0.779447:0.257512:0.769017:0.246067:0.769017:0.000000:0.000000
4:@0.248928:0.869834:0.254651:0.869834:0.254651:0.859405:0.248928:0.859405:0.000000
12:@0.246067:0.796688:0.257512:0.796688:0.257512:0.786259:0.246067:0.786259:0.000000:0.000000
8:@0.248928:0.835219:0.254651:0.835219:0.254651:0.824790:0.248928:0.824790:0.000000
16:@0.246067:0.762073:0.257512:0.762073:0.257512:0.751644:0.246067:0.751644:0.000000:0.000000
y:@0.264923:0.750667:0.269684:0.750667:0.269684:0.740255:0.264923:0.740255:0.000000
x:@0.394022:0.899564:0.398771:0.899564:0.398771:0.889152:0.394022:0.889152:0.000000
–4 –2:@0.205727:0.912493:0.240543:0.912493:0.240543:0.902064:0.205727:0.902064:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.372809:0.912493:0.384254:0.912493:0.384254:0.902064:0.372809:0.902064:0.000000:0.000000
–8:@0.156322:0.912493:0.167908:0.912493:0.167908:0.902064:0.156322:0.902064:0.000000:0.000000
6:@0.326265:0.912493:0.331988:0.912493:0.331988:0.902064:0.326265:0.902064:0.000000
0:@0.250007:0.912493:0.255729:0.912493:0.255729:0.902064:0.250007:0.902064:0.000000
A:@0.139635:0.899564:0.146495:0.899564:0.146495:0.889135:0.139635:0.889135:0.000000
B:@0.187691:0.863823:0.193613:0.863823:0.193613:0.853393:0.187691:0.853393:0.000000
N:@0.212458:0.863823:0.219940:0.863823:0.219940:0.853393:0.212458:0.853393:0.000000
O:@0.308640:0.792437:0.316509:0.792437:0.316509:0.782008:0.308640:0.782008:0.000000
H:@0.380923:0.863823:0.388311:0.863823:0.388311:0.853393:0.380923:0.853393:0.000000
G:@0.308781:0.882393:0.316098:0.882393:0.316098:0.871964:0.308781:0.871964:0.000000
E:@0.308030:0.898913:0.313495:0.898913:0.313495:0.888483:0.308030:0.888483:0.000000
F:@0.381955:0.881196:0.387373:0.881196:0.387373:0.870767:0.381955:0.870767:0.000000
C:@0.357505:0.792446:0.364189:0.792446:0.364189:0.782016:0.357505:0.782016:0.000000
D:@0.308781:0.755912:0.316368:0.755912:0.316368:0.745483:0.308781:0.745483:0.000000
I:@0.213513:0.827008:0.215988:0.827008:0.215988:0.816578:0.213513:0.816578:0.000000
J:@0.263211:0.792437:0.267257:0.792437:0.267257:0.782008:0.263211:0.782008:0.000000
M:@0.186096:0.827941:0.195220:0.827941:0.195220:0.817511:0.186096:0.817511:0.000000
K:@0.116358:0.827008:0.122198:0.827008:0.122198:0.816578:0.116358:0.816578:0.000000
L:@0.163757:0.791178:0.169011:0.791178:0.169011:0.780749:0.163757:0.780749:0.000000
4:@0.303070:0.912493:0.308793:0.912493:0.308793:0.902064:0.303070:0.902064:0.000000
–6:@0.181230:0.912493:0.192816:0.912493:0.192816:0.902064:0.181230:0.902064:0.000000:0.000000
8:@0.351173:0.912493:0.356895:0.912493:0.356895:0.902064:0.351173:0.902064:0.000000
Recordemos:@0.115209:0.516316:0.210940:0.516316:0.210940:0.499692:0.115209:0.499692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que una magnitud es todo aquello que se puede medir.:@0.210940:0.516316:0.624416:0.516316:0.624416:0.499927:0.210940:0.499927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las magnitudes pueden ser escalares y vectoriales.:@0.115209:0.540035:0.485542:0.540035:0.485542:0.523646:0.115209:0.523646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Magnitudes escalares:@0.115209:0.563754:0.289053:0.563754:0.289053:0.546853:0.115209:0.546853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: son aquellas que quedan completamente definidas con un número seguido  :@0.289053:0.563754:0.883936:0.563754:0.883936:0.547365:0.289053:0.547365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una unidad. Ejemplo la masa, el tiempo.:@0.115209:0.580350:0.429266:0.580350:0.429266:0.563961:0.115209:0.563961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Magnitudes vectoriales::@0.115209:0.604069:0.307335:0.604069:0.307335:0.587168:0.115209:0.587168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 son aquellas que se definen mediante su módulo, dirección y sentido que :@0.307335:0.604069:0.883955:0.604069:0.883955:0.587680:0.307335:0.587680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.879901:0.604069:0.883936:0.604069:0.883936:0.587680:0.879901:0.587680:0.000000
estén plenamente definidas. Por ejemplo la fuerza.:@0.115209:0.620665:0.484436:0.620665:0.484436:0.604276:0.115209:0.604276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000