:@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
Propiedades:@0.287495:0.409791:0.414566:0.409791:0.414566:0.388281:0.287495:0.388281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El producto de un escalar por un vector es una operación que modifica la magnitud :@0.287495:0.432573:0.907696:0.432573:0.907696:0.416184:0.287495:0.416184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(tamaño) del vector original, sin cambiar su dirección (aunque sí puede invertirla si el :@0.287495:0.449170:0.907748:0.449170:0.907748:0.432781:0.287495:0.432781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalar es negativo). :@0.287495:0.465766:0.438361:0.465766:0.438361:0.449377:0.287495:0.449377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El producto de un escalar  , :@0.287495:0.489485:0.493498:0.489485:0.493498:0.473096:0.287495:0.473096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k k:@0.478682:0.489485:0.501293:0.489485:0.501293:0.473124:0.478682:0.473124:0.000000:0.000000:0.000000
 :@0.505531:0.490066:0.539029:0.490066:0.539029:0.472460:0.505531:0.472460:0.000000:0.000000:0.000000
, por un vector   = ( ,  ) se obtiene multiplicando :@0.539029:0.489485:0.907679:0.489484:0.907679:0.473095:0.539029:0.473096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.650669:0.489387:0.658409:0.489387:0.658409:0.473026:0.650669:0.473026:0.000000
a b:@0.684410:0.489484:0.710411:0.489484:0.710411:0.473122:0.684410:0.473122:0.000000:0.000000:0.000000
el escalar por cada componente del vector: :@0.287516:0.506080:0.641693:0.506080:0.641693:0.489691:0.287516:0.489691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kv:@0.647276:0.506080:0.662545:0.505983:0.662545:0.489622:0.647276:0.489719:0.000000:0.000000
 = ( , :@0.664203:0.506080:0.723264:0.506080:0.723264:0.489691:0.664203:0.489691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ka kb:@0.699308:0.506080:0.745838:0.506080:0.745838:0.489719:0.699308:0.489719:0.000000:0.000000:0.000000:0.000000:0.000000
), y cumple con las :@0.745838:0.506080:0.907706:0.506080:0.907706:0.489691:0.745838:0.489691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades::@0.287505:0.522676:0.383108:0.522676:0.383108:0.506287:0.287505:0.506287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.287505:0.546395:0.293273:0.546395:0.293273:0.529495:0.287505:0.529495:0.000000
 :@0.293273:0.546395:0.297309:0.546395:0.297309:0.530006:0.293273:0.530006:0.000000
El módulo del nuevo vector es igual al módulo de   multiplicado por | |.:@0.315998:0.546395:0.842698:0.546402:0.842698:0.530013:0.315998:0.530006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.684516:0.546305:0.692255:0.546305:0.692255:0.529944:0.684516:0.529944:0.000000
k:@0.828012:0.546402:0.835585:0.546402:0.835585:0.530040:0.828012:0.530040:0.000000
•:@0.287511:0.566566:0.293278:0.566566:0.293278:0.549666:0.287511:0.549666:0.000000
 :@0.293278:0.566566:0.297314:0.566566:0.297314:0.550177:0.293278:0.550177:0.000000
La dirección es la misma que la del vector  .:@0.316003:0.566566:0.637138:0.566561:0.637138:0.550172:0.316003:0.550177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.624534:0.566464:0.632273:0.566464:0.632273:0.550103:0.624534:0.550103:0.000000
•:@0.287511:0.586726:0.293278:0.586726:0.293278:0.569825:0.287511:0.569825:0.000000
 :@0.293278:0.586726:0.297314:0.586726:0.297314:0.570337:0.293278:0.570337:0.000000
El sentido es el mismo que el de   si   > 0 y contrario si   < 0.:@0.316003:0.586726:0.759883:0.586722:0.759883:0.570333:0.316003:0.570337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.555651:0.586625:0.563391:0.586625:0.563391:0.570264:0.555651:0.570264:0.000000
k:@0.583845:0.586722:0.591419:0.586722:0.591419:0.570361:0.583845:0.570361:0.000000
k:@0.721056:0.586722:0.728629:0.586722:0.728629:0.570361:0.721056:0.570361:0.000000
Es importante indicar que::@0.287511:0.619915:0.479912:0.619915:0.479912:0.603526:0.287511:0.603526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   = 0, el resultado es el vector nulo: 0   = (0, 0) :@0.287511:0.643634:0.653351:0.643639:0.653351:0.627250:0.287511:0.627245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.303948:0.643634:0.311522:0.643634:0.311522:0.627272:0.303948:0.627272:0.000000
:@0.577322:0.643634:0.581671:0.643634:0.581671:0.626733:0.577322:0.626733:0.000000
v:@0.585869:0.643542:0.593609:0.643542:0.593609:0.627181:0.585869:0.627181:0.000000
Si   > 1, el vector se alarga.:@0.287507:0.667358:0.481454:0.667358:0.481454:0.650969:0.287507:0.650969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.303945:0.667358:0.311518:0.667358:0.311518:0.650997:0.303945:0.650997:0.000000
Si 0 <   < 1, el vector se acorta.:@0.287507:0.691077:0.511567:0.691077:0.511567:0.674688:0.287507:0.674688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.331991:0.691077:0.339565:0.691077:0.339565:0.674715:0.331991:0.674715:0.000000
Si   < 0, el vector invierte su dirección.:@0.287507:0.714796:0.565153:0.714796:0.565153:0.698407:0.287507:0.698407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.303945:0.714796:0.311518:0.714796:0.311518:0.698434:0.303945:0.698434:0.000000
Propiedades del producto de un escalar por un vector:@0.287495:0.747493:0.751502:0.747493:0.751502:0.729056:0.287495:0.729056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dados dos vectores cualesquiera   y   y los números α, β elementos de los reales,:@0.287495:0.770904:0.903603:0.770898:0.903603:0.754509:0.287495:0.754515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.537244:0.770801:0.546568:0.770801:0.546568:0.754440:0.537244:0.754440:0.000000
v:@0.565550:0.770801:0.573290:0.770801:0.573290:0.754440:0.565550:0.754440:0.000000
el producto de un escalar por un vector cumple con las siguientes propiedades.:@0.287495:0.787494:0.870924:0.787494:0.870924:0.771105:0.287495:0.771105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.378664:0.480398:0.378664:0.480398:0.363300:0.306727:0.363300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.379448:0.297460:0.379448:0.297460:0.362313:0.284892:0.362313:0.000000
Pienso y progreso:@0.294883:0.320890:0.417347:0.320890:0.417347:0.305525:0.294883:0.305525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo se obtiene el desplazamiento si se conocen la velocidad y el tiempo?:@0.294883:0.339542:0.804049:0.339542:0.804049:0.324643:0.294883:0.324643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un ciclista recorre una recta en dos tramos. En el primer tramo pedalea durante :@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
2 horas con una velocidad constante representada por el vector:   = (10, 0) km / h :@0.287495:0.184941:0.907709:0.184941:0.907709:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.771434:0.183581:0.778470:0.183581:0.778470:0.168707:0.771434:0.168707:0.000000
1:@0.778470:0.186457:0.783236:0.186457:0.783236:0.177771:0.778470:0.177771:0.000000
(hacia el este). En el segundo tramo, sube una cuesta hacia el noreste con una veloci-:@0.287490:0.201538:0.903729:0.201538:0.903729:0.185149:0.287490:0.185149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dad menor:   = (3, 3) km / h durante 1 hora. Responde::@0.287490:0.218134:0.692674:0.218134:0.692674:0.201745:0.287490:0.201745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.377342:0.216774:0.384378:0.216774:0.384378:0.201900:0.377342:0.201900:0.000000
2:@0.384378:0.219650:0.389144:0.219650:0.389144:0.210964:0.384378:0.210964:0.000000
a):@0.287490:0.245421:0.302398:0.245421:0.302398:0.228521:0.287490:0.228521:0.000000:0.000000
  ¿Cuál fue el vector de desplazamiento en cada tramo?:@0.302398:0.245421:0.711877:0.245421:0.711877:0.229032:0.302398:0.229032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.287490:0.265586:0.303707:0.265586:0.303707:0.248685:0.287490:0.248685:0.000000:0.000000
  ¿Cuál es el vector de desplazamiento total?:@0.303707:0.265586:0.631238:0.265586:0.631238:0.249197:0.303707:0.249197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.287490:0.285751:0.301311:0.285751:0.301311:0.268850:0.287490:0.268850:0.000000:0.000000
  ¿Cuál es la distancia total recorrida?:@0.301311:0.285751:0.574759:0.285751:0.574759:0.269362:0.301311:0.269362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Producto de un escalar por un vector:@0.286308:0.075160:0.827454:0.075160:0.827454:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
Propiedad:@0.212301:0.815695:0.287435:0.815695:0.287435:0.800331:0.212301:0.800331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresión:@0.487174:0.815695:0.558640:0.815695:0.558640:0.800331:0.487174:0.800331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.731407:0.815695:0.790912:0.815695:0.790912:0.800331:0.731407:0.800331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asociativa:@0.079555:0.840904:0.150501:0.840904:0.150501:0.825792:0.079555:0.825792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
αβ:@0.436263:0.838660:0.455966:0.838660:0.460436:0.823412:0.440733:0.823412:0.000000:0.000000
αβ:@0.488837:0.838660:0.518773:0.838660:0.523243:0.823412:0.493307:0.823412:0.000000:0.000000
βα:@0.550931:0.838660:0.579623:0.838660:0.584092:0.823412:0.555401:0.823412:0.000000:0.000000
(:@0.431506:0.840235:0.437028:0.840235:0.437028:0.820748:0.431506:0.820748:0.000000
):@0.459916:0.840235:0.465438:0.840235:0.465438:0.820748:0.459916:0.820748:0.000000
=:@0.478716:0.838660:0.487821:0.838660:0.487821:0.823412:0.478716:0.823412:0.000000
(:@0.503357:0.840235:0.508880:0.840235:0.508880:0.820748:0.503357:0.820748:0.000000
):@0.530871:0.840235:0.536394:0.840235:0.536394:0.820748:0.530871:0.820748:0.000000
=:@0.539260:0.838660:0.548366:0.838660:0.548366:0.823412:0.539260:0.823412:0.000000
(:@0.564419:0.840235:0.569942:0.840235:0.569942:0.820748:0.564419:0.820748:0.000000
):@0.591419:0.840235:0.596942:0.840235:0.596942:0.820748:0.591419:0.820748:0.000000
:@0.468255:0.831685:0.420823:0.831685:0.420823:0.816612:0.468255:0.816612:0.000000
:@0.522488:0.831685:0.475055:0.831685:0.475055:0.816612:0.522488:0.816612:0.000000
:@0.583023:0.831685:0.589823:0.831685:0.589823:0.816612:0.583023:0.816612:0.000000
u:@0.466365:0.839029:0.474757:0.839029:0.474757:0.824304:0.466365:0.824304:0.000000
u:@0.520597:0.839029:0.528989:0.839029:0.528989:0.824304:0.520597:0.824304:0.000000
u:@0.581132:0.839029:0.589524:0.839029:0.589524:0.824304:0.581132:0.824304:0.000000
(4   2) (5, 3) = 4[2(5, 3)] = 2[4(5, 3)]:@0.623689:0.840904:0.844754:0.840904:0.844754:0.826005:0.623689:0.826005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.640140:0.840904:0.644094:0.840904:0.644094:0.825540:0.640140:0.825540:0.000000
Distributiva respecto de la suma de escalares:@0.079571:0.867634:0.391111:0.867634:0.391111:0.852522:0.079571:0.852522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
αβ:@0.436263:0.865385:0.472368:0.865385:0.476838:0.850137:0.440733:0.850137:0.000000:0.000000
α:@0.505240:0.865385:0.515705:0.865385:0.520174:0.850137:0.509709:0.850137:0.000000
β:@0.540383:0.865385:0.549488:0.865385:0.553958:0.850137:0.544853:0.850137:0.000000
+:@0.451860:0.865385:0.460965:0.865385:0.460965:0.850137:0.451860:0.850137:0.000000
(:@0.431506:0.866960:0.437028:0.866960:0.437028:0.847473:0.431506:0.847473:0.000000
):@0.476318:0.866960:0.481841:0.866960:0.481841:0.847473:0.476318:0.847473:0.000000
=:@0.495113:0.865385:0.504218:0.865385:0.504218:0.850137:0.495113:0.850137:0.000000
+:@0.528996:0.865385:0.538101:0.865385:0.538101:0.850137:0.528996:0.850137:0.000000
:@0.484648:0.858415:0.457001:0.858415:0.457001:0.843341:0.484648:0.843341:0.000000
:@0.519095:0.858415:0.491448:0.858415:0.491448:0.843341:0.519095:0.843341:0.000000
:@0.553210:0.858415:0.560010:0.858415:0.560010:0.843341:0.553210:0.843341:0.000000
u:@0.482774:0.865759:0.491166:0.865759:0.491166:0.851033:0.482774:0.851033:0.000000
u:@0.517221:0.865759:0.525612:0.865759:0.525612:0.851033:0.517221:0.851033:0.000000
u:@0.551336:0.865759:0.559728:0.865759:0.559728:0.851033:0.551336:0.851033:0.000000
(3 + 2) (5, 3) = 3(5, 3) + 2(5, 3):@0.623689:0.867634:0.816342:0.867634:0.816342:0.852735:0.623689:0.852735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distributiva respecto de la suma de vectores:@0.079571:0.894365:0.387124:0.894365:0.387124:0.879252:0.079571:0.879252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
α:@0.429902:0.892299:0.440367:0.892299:0.444837:0.877051:0.434372:0.877051:0.000000
α:@0.501947:0.892299:0.512412:0.892299:0.516882:0.877051:0.506417:0.877051:0.000000
α:@0.535531:0.892299:0.545996:0.892299:0.550466:0.877051:0.540001:0.877051:0.000000
:@0.452378:0.885323:0.481849:0.885323:0.481849:0.870249:0.452378:0.870249:0.000000:0.000000
:@0.515798:0.885323:0.489279:0.885323:0.489279:0.870249:0.515798:0.870249:0.000000
:@0.549117:0.885323:0.522598:0.885323:0.522598:0.870249:0.549117:0.870249:0.000000
uv:@0.450487:0.892667:0.480406:0.892667:0.480406:0.877942:0.450487:0.877942:0.000000:0.000000
u:@0.513907:0.892667:0.522299:0.892667:0.522299:0.877942:0.513907:0.877942:0.000000
v:@0.547508:0.892667:0.554474:0.892667:0.554474:0.877942:0.547508:0.877942:0.000000
+:@0.462262:0.892294:0.471367:0.892294:0.471367:0.877046:0.462262:0.877046:0.000000
(:@0.444415:0.893874:0.449938:0.893874:0.449938:0.874387:0.444415:0.874387:0.000000
):@0.483423:0.893874:0.488946:0.893874:0.488946:0.874387:0.483423:0.874387:0.000000
=:@0.491814:0.892299:0.500919:0.892299:0.500919:0.877051:0.491814:0.877051:0.000000
+:@0.525697:0.892299:0.534802:0.892299:0.534802:0.877051:0.525697:0.877051:0.000000
7:@0.623689:0.894363:0.631429:0.894363:0.631429:0.879490:0.623689:0.879490:0.000000
[(5, 3) + (2, 1)] = 7(5, 3) + 7(2, 1):@0.631429:0.894363:0.835875:0.894363:0.835875:0.879464:0.631429:0.879464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identidad multiplicativa:@0.079571:0.921094:0.245703:0.921094:0.245703:0.905981:0.079571:0.905981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 :@0.430469:0.920874:0.440088:0.920874:0.440088:0.906124:0.430469:0.906124:0.000000:0.000000
:@0.441962:0.913530:0.424963:0.913530:0.424963:0.898456:0.441962:0.898456:0.000000
:@0.465761:0.913530:0.448762:0.913530:0.448762:0.898456:0.465761:0.898456:0.000000
uu:@0.440071:0.920874:0.472263:0.920874:0.472263:0.906149:0.440071:0.906149:0.000000:0.000000
=:@0.452411:0.920501:0.461516:0.920501:0.461516:0.905253:0.452411:0.905253:0.000000
1(5, 3) = (5, 3):@0.623689:0.921094:0.712812:0.921094:0.712812:0.906195:0.623689:0.906195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Usar la bicicleta como :@0.098049:0.537227:0.247832:0.537227:0.247832:0.522328:0.098049:0.522328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medio de transporte :@0.106526:0.552315:0.247829:0.552315:0.247829:0.537416:0.106526:0.537416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayuda a reducir la :@0.127098:0.567403:0.247831:0.567403:0.247831:0.552504:0.127098:0.552504:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contaminación del aire y :@0.080191:0.582490:0.247831:0.582490:0.247831:0.567591:0.080191:0.567591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el uso de combustibles :@0.089841:0.597578:0.247832:0.597578:0.247832:0.582679:0.089841:0.582679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fósiles, además de mejorar :@0.068465:0.612666:0.247831:0.612666:0.247831:0.597767:0.068465:0.597767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tu salud.:@0.188278:0.627753:0.244162:0.627753:0.244162:0.612854:0.188278:0.612854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué cambios podrías :@0.103561:0.646399:0.247179:0.646399:0.247179:0.631525:0.103561:0.631525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacer en tu rutina para :@0.098770:0.661487:0.247176:0.661487:0.247176:0.646613:0.098770:0.646613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incluir la bicicleta como :@0.093995:0.676574:0.247176:0.676574:0.247176:0.661700:0.093995:0.661700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una opción más sostenible?:@0.068967:0.691662:0.244162:0.691662:0.244162:0.676788:0.068967:0.676788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desarrollo:@0.140542:0.497588:0.218777:0.497588:0.218777:0.480688:0.140542:0.480688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sostenible:@0.142432:0.511418:0.220248:0.511418:0.220248:0.494518:0.142432:0.494518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿La velocidad es un vector :@0.068734:0.192000:0.247831:0.192000:0.247831:0.177101:0.068734:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o un escalar?:@0.158108:0.207088:0.244165:0.207088:0.244165:0.192189:0.158108:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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:@0.068421:0.298339:0.068421:0.255513:0.056510:0.255513:0.056510:0.298339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el desplazamiento :@0.126580:0.422827:0.253997:0.422827:0.253997:0.409417:0.126580:0.409417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se emplean vectores.:@0.128570:0.435398:0.250695:0.435398:0.250695:0.421989:0.128570:0.421989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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