99:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
1. :@0.120074:0.172018:0.138815:0.172018:0.138815:0.154882:0.120074:0.154882:0.000000:0.000000:0.000000
Representa:@0.153317:0.172018:0.239429:0.172018:0.239429:0.155394:0.153317:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 gráficamente y :@0.239393:0.172018:0.376715:0.172018:0.376715:0.155629:0.239393:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determina:@0.386685:0.172018:0.466126:0.172018:0.466126:0.155394:0.386685:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la :@0.466089:0.172018:0.496366:0.172018:0.496366:0.155629:0.466089:0.155629:0.000000:0.000000:0.000000:0.000000
ecuación vectorial de la recta L que pasa por el :@0.153317:0.188614:0.496383:0.188614:0.496383:0.172225:0.153317:0.172225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
origen de coordenadas rectangulares (0, 0) para :@0.153317:0.205210:0.496386:0.205210:0.496386:0.188821:0.153317:0.188821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada vector director descrito a continuación::@0.153317:0.221807:0.471693:0.221807:0.471693:0.205418:0.153317:0.205418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153317:0.255636:0.172040:0.255636:0.172040:0.238735:0.153317:0.238735:0.000000:0.000000:0.000000
( ):@0.213517:0.258765:0.249340:0.258765:0.249340:0.238832:0.213517:0.238832:0.000000:0.000000:0.000000
=:@0.200847:0.256311:0.210964:0.256311:0.210964:0.240738:0.200847:0.240738:0.000000
2,0:@0.219956:0.255633:0.242659:0.255633:0.242659:0.239244:0.219956:0.239244:0.000000:0.000000:0.000000
v:@0.188961:0.255633:0.196701:0.255633:0.196701:0.239272:0.188961:0.239272:0.000000
:@0.189906:0.244481:0.197461:0.244481:0.197461:0.227732:0.189906:0.227732:0.000000
 :@0.153315:0.383942:0.155249:0.383942:0.155249:0.374404:0.153315:0.374404:0.000000
b) :@0.153315:0.426538:0.173346:0.426538:0.173346:0.409637:0.153315:0.409637:0.000000:0.000000:0.000000
(:@0.213517:0.428413:0.219653:0.428413:0.219653:0.408479:0.213517:0.408479:0.000000
):@0.253523:0.428413:0.259660:0.428413:0.259660:0.408479:0.253523:0.408479:0.000000
=:@0.200847:0.425958:0.210964:0.425958:0.210964:0.410386:0.200847:0.410386:0.000000
0,–4:@0.219956:0.425281:0.252610:0.425281:0.252610:0.408892:0.219956:0.408892:0.000000:0.000000:0.000000:0.000000
v:@0.188961:0.425281:0.196701:0.425281:0.196701:0.408920:0.188961:0.408920:0.000000
:@0.189906:0.414129:0.197461:0.414129:0.197461:0.397380:0.189906:0.397380:0.000000
 :@0.153315:0.599753:0.155249:0.599753:0.155249:0.590214:0.153315:0.590214:0.000000
c) :@0.153315:0.641093:0.170951:0.641093:0.170951:0.624192:0.153315:0.624192:0.000000:0.000000:0.000000
( ):@0.213517:0.644225:0.248548:0.644225:0.248548:0.624291:0.213517:0.624291:0.000000:0.000000:0.000000
=:@0.200847:0.641770:0.210964:0.641770:0.210964:0.626198:0.200847:0.626198:0.000000
3,2:@0.219956:0.641093:0.242254:0.641093:0.242254:0.624704:0.219956:0.624704:0.000000:0.000000:0.000000
v:@0.188980:0.641093:0.196719:0.641093:0.196719:0.624731:0.188980:0.624731:0.000000
:@0.189906:0.629940:0.197461:0.629940:0.197461:0.613192:0.189906:0.613192:0.000000
 :@0.153315:0.814308:0.155249:0.814308:0.155249:0.804769:0.153315:0.804769:0.000000
Taller:@0.180709:0.130781:0.241604:0.130781:0.241604:0.096834:0.180709:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determina la ecuación de la recta en forma vectorial. (Ref. I.M.5.6.3.):@0.261730:0.118806:0.573843:0.118806:0.573843:0.108377:0.261730:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.545667:0.180504:0.564389:0.180504:0.564389:0.163604:0.545667:0.163604:0.000000:0.000000:0.000000
4,2,:@0.613616:0.177990:0.648020:0.177990:0.648020:0.161601:0.613616:0.161601:0.000000:0.000000:0.000000:0.000000
0,–2:@0.679937:0.177990:0.712591:0.177990:0.712591:0.161601:0.679937:0.161601:0.000000:0.000000:0.000000:0.000000
u:@0.581515:0.177990:0.590839:0.177990:0.590839:0.161629:0.581515:0.161629:0.000000
v:@0.648942:0.177990:0.656681:0.177990:0.656681:0.161629:0.648942:0.161629:0.000000
:@0.582467:0.166839:0.522595:0.166839:0.522595:0.150090:0.582467:0.150090:0.000000
:@0.649893:0.166839:0.590022:0.166839:0.590022:0.150090:0.649893:0.150090:0.000000
(:@0.606444:0.181122:0.612581:0.181122:0.612581:0.161188:0.606444:0.161188:0.000000
):@0.637237:0.181122:0.643373:0.181122:0.643373:0.161188:0.637237:0.161188:0.000000
(:@0.673506:0.181122:0.679642:0.181122:0.679642:0.161188:0.673506:0.161188:0.000000
):@0.712775:0.181122:0.718912:0.181122:0.718912:0.161188:0.712775:0.161188:0.000000
=:@0.593774:0.178667:0.603891:0.178667:0.603891:0.163095:0.593774:0.163095:0.000000
=:@0.660833:0.178667:0.670949:0.178667:0.670949:0.163095:0.660833:0.163095:0.000000
 :@0.545667:0.353719:0.547600:0.353719:0.547600:0.344181:0.545667:0.344181:0.000000
b) :@0.545667:0.391287:0.565697:0.391287:0.565697:0.374387:0.545667:0.374387:0.000000:0.000000:0.000000
–4,1 ,:@0.613249:0.390030:0.652998:0.390030:0.652998:0.373641:0.613249:0.373641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,3:@0.683772:0.390030:0.703751:0.390030:0.703751:0.373641:0.683772:0.373641:0.000000:0.000000:0.000000
u:@0.581525:0.390030:0.590850:0.390030:0.590850:0.373669:0.581525:0.373669:0.000000
v:@0.653927:0.390030:0.661667:0.390030:0.661667:0.373669:0.653927:0.373669:0.000000
:@0.582465:0.378883:0.517618:0.378883:0.517618:0.362134:0.582465:0.362134:0.000000
:@0.654867:0.378883:0.590020:0.378883:0.590020:0.362134:0.654867:0.362134:0.000000
(:@0.606444:0.393162:0.612581:0.393162:0.612581:0.373228:0.606444:0.373228:0.000000
):@0.642194:0.393162:0.648330:0.393162:0.648330:0.373228:0.642194:0.373228:0.000000
( ):@0.678478:0.393162:0.709639:0.393162:0.709639:0.373228:0.678478:0.373228:0.000000:0.000000:0.000000
=:@0.593774:0.390708:0.603891:0.390708:0.603891:0.375135:0.593774:0.375135:0.000000
=:@0.665808:0.390708:0.675925:0.390708:0.675925:0.375135:0.665808:0.375135:0.000000
 :@0.545667:0.586955:0.547600:0.586955:0.547600:0.577416:0.545667:0.577416:0.000000
2. :@0.120074:0.850760:0.138815:0.850760:0.138815:0.833625:0.120074:0.833625:0.000000:0.000000:0.000000
Representa:@0.153317:0.850760:0.239759:0.850760:0.239759:0.834136:0.153317:0.834136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 gráficamente y :@0.239759:0.850760:0.376935:0.850760:0.376935:0.834371:0.239759:0.834371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determina:@0.386609:0.850760:0.466346:0.850760:0.466346:0.834136:0.386609:0.834136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la :@0.466346:0.850760:0.496364:0.850760:0.496364:0.834371:0.466346:0.834371:0.000000:0.000000:0.000000:0.000000
ecuación vectorial de la recta L que pasa por :@0.153317:0.867357:0.496346:0.867357:0.496346:0.850968:0.153317:0.850968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el extremo del vector   y es paralela al vector :@0.153317:0.886470:0.496349:0.886468:0.496349:0.870079:0.153317:0.870081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.317618:0.886468:0.326942:0.886468:0.326942:0.870106:0.317618:0.870106:0.000000
:@0.318558:0.875320:0.326113:0.875320:0.326113:0.858572:0.318558:0.858572:0.000000
generador  , para los siguientes vectores::@0.153319:0.905581:0.461331:0.905579:0.461331:0.889190:0.153319:0.889192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.236600:0.905579:0.244340:0.905579:0.244340:0.889217:0.236600:0.889217:0.000000
:@0.237540:0.894431:0.245095:0.894431:0.245095:0.877683:0.237540:0.877683:0.000000
3. :@0.512435:0.619734:0.531176:0.619734:0.531176:0.602598:0.512435:0.602598:0.000000:0.000000:0.000000
Representa:@0.545678:0.619734:0.632121:0.619734:0.632121:0.603110:0.545678:0.603110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 gráficamente en tu cuaderno y :@0.632121:0.619734:0.888668:0.619734:0.888668:0.603345:0.632121:0.603345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determina:@0.545678:0.636330:0.625415:0.636330:0.625415:0.619706:0.545678:0.619706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación vectorial de las siguien-:@0.625415:0.636330:0.884634:0.636330:0.884634:0.619941:0.625415:0.619941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tes rectas, si se tiene que::@0.545678:0.652926:0.729529:0.652926:0.729529:0.636538:0.545678:0.636538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512435:0.685455:0.516157:0.685455:0.516157:0.668320:0.512435:0.668320:0.000000
(:@0.664795:0.681037:0.670931:0.681037:0.670931:0.661104:0.664795:0.661104:0.000000
):@0.704746:0.681037:0.710882:0.681037:0.710882:0.661104:0.704746:0.661104:0.000000
(:@0.741018:0.681037:0.747154:0.681037:0.747154:0.661104:0.741018:0.661104:0.000000
):@0.778666:0.681037:0.784802:0.681037:0.784802:0.661104:0.778666:0.661104:0.000000
=:@0.652125:0.678582:0.662242:0.678582:0.662242:0.663009:0.652125:0.663009:0.000000
=:@0.728341:0.678582:0.738458:0.678582:0.738458:0.663009:0.728341:0.663009:0.000000
4,–3 ,:@0.671966:0.677904:0.715529:0.677904:0.715529:0.661515:0.671966:0.661515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–1,4.:@0.747814:0.677904:0.788665:0.677904:0.788665:0.661515:0.747814:0.661515:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.639875:0.677904:0.649200:0.677904:0.649200:0.661543:0.639875:0.661543:0.000000
v:@0.716461:0.677904:0.724200:0.677904:0.724200:0.661543:0.716461:0.661543:0.000000
a) :@0.545673:0.714195:0.564396:0.714195:0.564396:0.697294:0.545673:0.697294:0.000000:0.000000:0.000000
(:@0.646911:0.719184:0.653048:0.719184:0.653048:0.693022:0.646911:0.693022:0.000000
):@0.686273:0.719184:0.692409:0.719184:0.692409:0.693022:0.686273:0.693022:0.000000
{:@0.607491:0.718944:0.616337:0.718944:0.616337:0.693093:0.607491:0.693093:0.000000
}:@0.753125:0.718944:0.761970:0.718944:0.761970:0.693093:0.753125:0.693093:0.000000
[ ]:@0.721669:0.715994:0.753622:0.715994:0.753622:0.696372:0.721669:0.696372:0.000000:0.000000:0.000000
=:@0.595607:0.713623:0.605724:0.713623:0.605724:0.698050:0.595607:0.698050:0.000000
+:@0.627542:0.713623:0.637659:0.713623:0.637659:0.698050:0.627542:0.698050:0.000000
∈:@0.705546:0.713623:0.718685:0.713623:0.718685:0.698050:0.705546:0.698050:0.000000
–:@0.664659:0.712945:0.673873:0.712945:0.673873:0.696556:0.664659:0.696556:0.000000
0,1:@0.728105:0.712945:0.750037:0.712945:0.750037:0.696556:0.728105:0.696556:0.000000:0.000000:0.000000
1:@0.587492:0.714947:0.592704:0.714947:0.592704:0.705449:0.587492:0.705449:0.000000
L:@0.581525:0.712945:0.589154:0.712945:0.589154:0.696584:0.581525:0.696584:0.000000
u tv ut:@0.616243:0.712945:0.701360:0.712945:0.701360:0.696584:0.616243:0.696584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.617176:0.701793:0.588023:0.701793:0.588023:0.685044:0.617176:0.685044:0.000000
:@0.653884:0.701793:0.624731:0.701793:0.624731:0.685044:0.653884:0.685044:0.000000
:@0.677324:0.701793:0.684879:0.701793:0.684879:0.685044:0.677324:0.685044:0.000000
 :@0.545667:0.795090:0.547600:0.795090:0.547600:0.785551:0.545667:0.785551:0.000000
b) :@0.545667:0.835171:0.565697:0.835171:0.565697:0.818270:0.545667:0.818270:0.000000:0.000000:0.000000
(:@0.648377:0.838896:0.654514:0.838896:0.654514:0.812733:0.648377:0.812733:0.000000
):@0.687739:0.838896:0.693875:0.838896:0.693875:0.812733:0.687739:0.812733:0.000000
{:@0.609743:0.838656:0.618588:0.838656:0.618588:0.812805:0.609743:0.812805:0.000000
}:@0.754603:0.838656:0.763448:0.838656:0.763448:0.812805:0.754603:0.812805:0.000000
[ ]:@0.723135:0.835705:0.755088:0.835705:0.755088:0.816084:0.723135:0.816084:0.000000:0.000000:0.000000
=:@0.597859:0.833334:0.607975:0.833334:0.607975:0.817761:0.597859:0.817761:0.000000
+:@0.629001:0.833334:0.639118:0.833334:0.639118:0.817761:0.629001:0.817761:0.000000
∈:@0.707006:0.833334:0.720145:0.833334:0.720145:0.817761:0.707006:0.817761:0.000000
–:@0.666910:0.832656:0.676124:0.832656:0.676124:0.816267:0.666910:0.816267:0.000000
0,1:@0.729583:0.832656:0.751503:0.832656:0.751503:0.816267:0.729583:0.816267:0.000000:0.000000:0.000000
2:@0.588174:0.834660:0.593386:0.834660:0.593386:0.825162:0.588174:0.825162:0.000000
L:@0.581525:0.832656:0.589154:0.832656:0.589154:0.816295:0.581525:0.816295:0.000000
v tu vt:@0.618067:0.832656:0.702816:0.832656:0.702816:0.816295:0.618067:0.816295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.619009:0.821504:0.589819:0.821504:0.589819:0.804756:0.619009:0.804756:0.000000
:@0.655753:0.821504:0.626564:0.821504:0.626564:0.804756:0.655753:0.804756:0.000000
:@0.679156:0.821504:0.686712:0.821504:0.686712:0.804756:0.679156:0.804756:0.000000
 :@0.545667:0.916059:0.547600:0.916059:0.547600:0.906520:0.545667:0.906520:0.000000