136:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
¿Cuándo una recta es :@0.101495:0.192000:0.248663:0.192000:0.248663:0.177101:0.101495:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perpendicular a otra?:@0.103170:0.207088:0.244996:0.207088:0.244996:0.192189:0.103170:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.109352:0.163125:0.228587:0.163125:0.228587:0.146224:0.109352:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.478129:0.480398:0.478129:0.480398:0.462765:0.306727:0.462765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.478915:0.297460:0.478915:0.297460:0.461779:0.284892:0.461779:0.000000
Producto escalar entre dos vectores:@0.287495:0.509257:0.647336:0.509257:0.647336:0.487747:0.287495:0.487747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para los vectores :@0.287495:0.534143:0.423178:0.534143:0.423178:0.517754:0.287495:0.517754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.431846:0.534553:0.441741:0.534553:0.441741:0.518192:0.431846:0.518192:0.000000
a a:@0.463099:0.534553:0.495974:0.534553:0.495974:0.518192:0.463099:0.518192:0.000000:0.000000:0.000000
B:@0.525034:0.534553:0.533880:0.534553:0.533880:0.518192:0.525034:0.518192:0.000000
bb:@0.555762:0.534553:0.588268:0.534553:0.588268:0.518192:0.555762:0.518192:0.000000:0.000000
:@0.432425:0.523253:0.346368:0.523253:0.346368:0.507196:0.432425:0.507196:0.000000
:@0.526038:0.523253:0.439981:0.523253:0.439981:0.507196:0.526038:0.507196:0.000000
=:@0.444883:0.535231:0.362069:0.535231:0.362069:0.519658:0.444883:0.519658:0.000000
=:@0.537813:0.535231:0.454999:0.535231:0.454999:0.519658:0.537813:0.519658:0.000000
(,:@0.457603:0.534553:0.480176:0.534553:0.480176:0.518164:0.457603:0.518164:0.000000:0.000000
):@0.503100:0.534553:0.507984:0.534553:0.507984:0.518164:0.503100:0.518164:0.000000
( , :@0.550533:0.534553:0.579019:0.534553:0.579019:0.518164:0.550533:0.518164:0.000000:0.000000:0.000000:0.000000
), el producto escalar, llamado también :@0.595029:0.534553:0.907713:0.534138:0.907713:0.517749:0.595029:0.518164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.471214:0.536557:0.476426:0.536557:0.476426:0.527059:0.471214:0.527059:0.000000
2:@0.495510:0.536557:0.500722:0.536557:0.500722:0.527059:0.495510:0.527059:0.000000
1:@0.563508:0.536557:0.568719:0.536557:0.568719:0.527059:0.563508:0.527059:0.000000
2:@0.587430:0.536557:0.592642:0.536557:0.592642:0.527059:0.587430:0.527059:0.000000
y :@0.512311:0.534553:0.524399:0.534553:0.524399:0.518164:0.512311:0.518164:0.000000:0.000000
producto punto, :@0.287512:0.553334:0.412505:0.553334:0.412505:0.536945:0.287512:0.536945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.413549:0.553254:0.439992:0.553254:0.439992:0.536893:0.413549:0.536893:0.000000:0.000000
:@0.414120:0.541955:0.439679:0.541955:0.439679:0.525898:0.414120:0.525898:0.000000:0.000000
⋅:@0.425066:0.553932:0.429673:0.553932:0.429673:0.538359:0.425066:0.538359:0.000000
 está dado por::@0.440505:0.553342:0.549650:0.553342:0.549650:0.536953:0.440505:0.536953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.471284:0.581753:0.497728:0.581753:0.497728:0.566360:0.471284:0.566360:0.000000:0.000000
aa:@0.519860:0.581753:0.552734:0.581753:0.552734:0.566360:0.519860:0.566360:0.000000:0.000000
bb:@0.582679:0.581753:0.615186:0.581753:0.615186:0.566360:0.582679:0.566360:0.000000:0.000000
ab:@0.643104:0.581753:0.664516:0.581753:0.664516:0.566360:0.643104:0.566360:0.000000:0.000000
ab:@0.684345:0.581753:0.707950:0.581753:0.707950:0.566360:0.684345:0.566360:0.000000:0.000000
:@0.471856:0.570468:0.497415:0.570468:0.497415:0.554411:0.471856:0.554411:0.000000:0.000000
⋅=:@0.482802:0.582431:0.511770:0.582431:0.511770:0.566858:0.482802:0.566858:0.000000:0.000000
⋅:@0.566205:0.582431:0.507200:0.582431:0.507200:0.566858:0.566205:0.566858:0.000000
=:@0.629817:0.582431:0.570812:0.582431:0.570812:0.566858:0.629817:0.566858:0.000000
+:@0.671390:0.582431:0.681507:0.582431:0.681507:0.566858:0.671390:0.566858:0.000000
(,:@0.514368:0.581753:0.536942:0.581753:0.536942:0.566083:0.514368:0.566083:0.000000:0.000000
)( ,:@0.559866:0.581753:0.599393:0.581753:0.599393:0.566083:0.559866:0.566083:0.000000:0.000000:0.000000:0.000000
):@0.621949:0.581753:0.626832:0.581753:0.626832:0.566083:0.621949:0.566083:0.000000
;:@0.714400:0.581753:0.717607:0.581753:0.717607:0.566083:0.714400:0.566083:0.000000
1:@0.527981:0.583767:0.533193:0.583767:0.533193:0.574686:0.527981:0.574686:0.000000
2:@0.552277:0.583767:0.557489:0.583767:0.557489:0.574686:0.552277:0.574686:0.000000
1:@0.590436:0.583767:0.595647:0.583767:0.595647:0.574686:0.590436:0.574686:0.000000
2:@0.614358:0.583767:0.619570:0.583767:0.619570:0.574686:0.614358:0.574686:0.000000
11:@0.651224:0.583767:0.668216:0.583767:0.668216:0.574686:0.651224:0.574686:0.000000:0.000000
22:@0.693150:0.583767:0.712341:0.583767:0.712341:0.574686:0.693150:0.574686:0.000000:0.000000
El producto escalar también se puede calcular mediante la fórmula::@0.287495:0.610948:0.780260:0.610948:0.780260:0.594559:0.287495:0.594559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.528041:0.639359:0.554485:0.639359:0.554485:0.623966:0.528041:0.623966:0.000000:0.000000
A:@0.577980:0.639359:0.587876:0.639359:0.587876:0.623966:0.577980:0.623966:0.000000
B Cos ‚ θ:@0.607243:0.639359:0.661071:0.639428:0.661071:0.624035:0.607243:0.623966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.528613:0.628073:0.554172:0.628073:0.554172:0.612016:0.528613:0.612016:0.000000:0.000000
:@0.578552:0.628073:0.556420:0.628073:0.556420:0.612016:0.578552:0.612016:0.000000
:@0.608238:0.628073:0.586107:0.628073:0.586107:0.612016:0.608238:0.612016:0.000000
⋅=:@0.539559:0.640037:0.568527:0.640037:0.568527:0.624464:0.539559:0.624464:0.000000:0.000000
 :@0.595468:0.639359:0.599504:0.639359:0.599504:0.623689:0.595468:0.623689:0.000000
donde   es el ángulo entre los dos vectores.:@0.287495:0.670466:0.608888:0.670466:0.608888:0.654077:0.287495:0.654077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.340198:0.670466:0.349265:0.670466:0.349265:0.654105:0.340198:0.654105:0.000000
El resultado del producto punto es un escalar, es decir un número.:@0.287495:0.694185:0.771363:0.694185:0.771363:0.677796:0.287495:0.677796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vectores ortogonales:@0.287495:0.726866:0.472400:0.726866:0.472400:0.708429:0.287495:0.708429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean los vectores :@0.287495:0.753259:0.416489:0.753259:0.416489:0.736870:0.287495:0.736870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.416919:0.752790:0.426815:0.752790:0.426815:0.736429:0.416919:0.736429:0.000000
a a:@0.448173:0.752790:0.481048:0.752790:0.481048:0.736429:0.448173:0.736429:0.000000:0.000000:0.000000
B:@0.510108:0.752790:0.518953:0.752790:0.518953:0.736429:0.510108:0.736429:0.000000
bb:@0.540835:0.752790:0.573342:0.752790:0.573342:0.736429:0.540835:0.736429:0.000000:0.000000
:@0.417499:0.741491:0.331442:0.741491:0.331442:0.725434:0.417499:0.725434:0.000000
:@0.511111:0.741491:0.425054:0.741491:0.425054:0.725434:0.511111:0.725434:0.000000
=:@0.429956:0.753468:0.347142:0.753468:0.347142:0.737895:0.429956:0.737895:0.000000
=:@0.522887:0.753468:0.440073:0.753468:0.440073:0.737895:0.522887:0.737895:0.000000
(,:@0.442676:0.752790:0.465250:0.752790:0.465250:0.736401:0.442676:0.736401:0.000000:0.000000
):@0.488174:0.752790:0.493057:0.752790:0.493057:0.736401:0.488174:0.736401:0.000000
( , :@0.535607:0.752790:0.564093:0.752790:0.564093:0.736401:0.535607:0.736401:0.000000:0.000000:0.000000:0.000000
), podemos afirmar que son perpendiculares, :@0.580103:0.752790:0.907657:0.753260:0.907657:0.736871:0.580103:0.736401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.456288:0.754794:0.461499:0.754794:0.461499:0.745296:0.456288:0.745296:0.000000
2:@0.480584:0.754794:0.485795:0.754794:0.485795:0.745296:0.480584:0.745296:0.000000
1:@0.548583:0.754794:0.553795:0.754794:0.553795:0.745296:0.548583:0.745296:0.000000
2:@0.572506:0.754794:0.577717:0.754794:0.577717:0.745296:0.572506:0.745296:0.000000
y :@0.497385:0.752790:0.509473:0.752790:0.509473:0.736401:0.497385:0.736401:0.000000:0.000000
si se cumple que su producto escalar es cero.:@0.287494:0.769857:0.617601:0.769857:0.617601:0.753468:0.287494:0.753468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.537811:0.796094:0.574777:0.796094:0.574777:0.779733:0.537811:0.779733:0.000000:0.000000
AB:@0.602050:0.796094:0.628494:0.796094:0.628494:0.779733:0.602050:0.779733:0.000000:0.000000
:@0.538383:0.784795:0.517412:0.784795:0.517412:0.768738:0.538383:0.768738:0.000000
:@0.566909:0.784795:0.545938:0.784795:0.545938:0.768738:0.566909:0.768738:0.000000
:@0.602621:0.784795:0.628181:0.784795:0.628181:0.768738:0.602621:0.768738:0.000000:0.000000
⊥↔ ⋅=:@0.550840:0.796772:0.642517:0.796772:0.642517:0.781199:0.550840:0.781199:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.645429:0.796094:0.654422:0.796094:0.654422:0.779705:0.645429:0.779705:0.000000
Distancia entre dos puntos:@0.287495:0.826718:0.499962:0.826718:0.499962:0.809818:0.287495:0.809818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean :@0.287495:0.849593:0.327354:0.849593:0.327354:0.833205:0.287495:0.833205:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.330340:0.849392:0.340235:0.849392:0.340235:0.833031:0.330340:0.833031:0.000000
a a:@0.361593:0.849392:0.394468:0.849392:0.394468:0.833031:0.361593:0.833031:0.000000:0.000000:0.000000
B:@0.423528:0.849392:0.432374:0.849392:0.432374:0.833031:0.423528:0.833031:0.000000
bb:@0.454254:0.849392:0.486760:0.849392:0.486760:0.833031:0.454254:0.833031:0.000000:0.000000
:@0.330918:0.838093:0.244861:0.838093:0.244861:0.822036:0.330918:0.822036:0.000000
:@0.424530:0.838093:0.338473:0.838093:0.338473:0.822036:0.424530:0.822036:0.000000
=:@0.343375:0.850070:0.260561:0.850070:0.260561:0.834497:0.343375:0.834497:0.000000
=:@0.436305:0.850070:0.353491:0.850070:0.353491:0.834497:0.436305:0.834497:0.000000
(,:@0.356096:0.849392:0.378670:0.849392:0.378670:0.833003:0.356096:0.833003:0.000000:0.000000
):@0.401594:0.849392:0.406478:0.849392:0.406478:0.833003:0.401594:0.833003:0.000000
( , :@0.449027:0.849392:0.477511:0.849392:0.477511:0.833003:0.449027:0.833003:0.000000:0.000000:0.000000:0.000000
), la distancia de   a   es un número real no negativo :@0.493523:0.849392:0.907652:0.849588:0.907652:0.833200:0.493523:0.833003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.369708:0.851396:0.374919:0.851396:0.374919:0.841898:0.369708:0.841898:0.000000
2:@0.394004:0.851396:0.399216:0.851396:0.399216:0.841898:0.394004:0.841898:0.000000
1:@0.462002:0.851396:0.467213:0.851396:0.467213:0.841898:0.462002:0.841898:0.000000
2:@0.485924:0.851396:0.491136:0.851396:0.491136:0.841898:0.485924:0.841898:0.000000
y :@0.410803:0.849392:0.422892:0.849392:0.422892:0.833003:0.410803:0.833003:0.000000:0.000000
AB:@0.624095:0.849649:0.660323:0.849649:0.660323:0.833288:0.624095:0.833288:0.000000:0.000000
:@0.624666:0.838349:0.604414:0.838349:0.604414:0.822292:0.624666:0.822292:0.000000
:@0.652473:0.838349:0.632221:0.838349:0.632221:0.822292:0.652473:0.822292:0.000000
denotado por :@0.287489:0.870251:0.393503:0.870251:0.393503:0.853862:0.287489:0.853862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dA B:@0.396282:0.869957:0.439735:0.869957:0.439735:0.853595:0.396282:0.853595:0.000000:0.000000:0.000000:0.000000
:@0.416804:0.858664:0.439433:0.858664:0.439433:0.842607:0.416804:0.842607:0.000000:0.000000
,:@0.426018:0.869957:0.429224:0.869957:0.429224:0.853568:0.426018:0.853568:0.000000
( ):@0.408061:0.875972:0.447496:0.875972:0.447496:0.849030:0.408061:0.849030:0.000000:0.000000:0.000000
, que se obtiene de la siguiente manera::@0.450466:0.870257:0.741951:0.870257:0.741951:0.853868:0.450466:0.853868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dA B:@0.448409:0.900268:0.491861:0.900268:0.491861:0.883906:0.448409:0.883906:0.000000:0.000000:0.000000:0.000000
A B:@0.522377:0.900268:0.556045:0.900268:0.556045:0.883906:0.522377:0.883906:0.000000:0.000000:0.000000
a:@0.599294:0.900268:0.608563:0.900268:0.608563:0.883906:0.599294:0.883906:0.000000
b:@0.628189:0.900268:0.637458:0.900268:0.637458:0.883906:0.628189:0.883906:0.000000
a:@0.678754:0.900268:0.688023:0.900268:0.688023:0.883906:0.678754:0.883906:0.000000
b:@0.709860:0.900268:0.719129:0.900268:0.719129:0.883906:0.709860:0.883906:0.000000
:@0.468931:0.888975:0.491560:0.888975:0.491560:0.872918:0.468931:0.872918:0.000000:0.000000
:@0.522960:0.888975:0.555743:0.888975:0.555743:0.872918:0.522960:0.872918:0.000000:0.000000
,:@0.478144:0.900268:0.481351:0.900268:0.481351:0.883879:0.478144:0.883879:0.000000
( ):@0.460188:0.906283:0.499623:0.906283:0.499623:0.879341:0.460188:0.879341:0.000000:0.000000:0.000000
=:@0.502801:0.900945:0.512917:0.900945:0.512917:0.885372:0.502801:0.885372:0.000000
−:@0.534791:0.900945:0.544908:0.900945:0.544908:0.885372:0.534791:0.885372:0.000000
−:@0.615780:0.900945:0.625897:0.900945:0.625897:0.885372:0.615780:0.885372:0.000000
(:@0.591955:0.902999:0.598092:0.902999:0.598092:0.883097:0.591955:0.883097:0.000000
) (:@0.642631:0.902999:0.677562:0.902999:0.677562:0.883097:0.642631:0.883097:0.000000:0.000000:0.000000
+:@0.658703:0.900945:0.668820:0.900945:0.668820:0.885372:0.658703:0.885372:0.000000
−:@0.697438:0.900945:0.707555:0.900945:0.707555:0.885372:0.697438:0.885372:0.000000
):@0.726505:0.902999:0.732642:0.902999:0.732642:0.883097:0.726505:0.883097:0.000000
 =:@0.564419:0.900268:0.579438:0.900268:0.579438:0.883879:0.564419:0.883879:0.000000:0.000000
1:@0.607399:0.902272:0.612611:0.902272:0.612611:0.892773:0.607399:0.892773:0.000000
1:@0.635935:0.902272:0.641147:0.902272:0.641147:0.892773:0.635935:0.892773:0.000000
2:@0.648804:0.890681:0.654016:0.890681:0.654016:0.881183:0.648804:0.881183:0.000000
2:@0.687549:0.902272:0.692761:0.902272:0.692761:0.892773:0.687549:0.892773:0.000000
2:@0.718285:0.902272:0.723497:0.902272:0.723497:0.892773:0.718285:0.892773:0.000000
2:@0.732675:0.890682:0.737887:0.890682:0.737887:0.881184:0.732675:0.881184:0.000000
Pienso y progreso:@0.294883:0.402609:0.417347:0.402609:0.417347:0.387245:0.294883:0.387245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Averigua sobre el movimiento parabólico en física y verifica la ortogonalidad de las :@0.294883:0.421260:0.849649:0.421260:0.849649:0.406361:0.294883:0.406361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
componentes de la velocidad.:@0.294883:0.436348:0.495657:0.436348:0.495657:0.421449:0.294883:0.421449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En ingeniería y física, los vectores ortogonales son esenciales en el momento de ana-:@0.287495:0.168345:0.903548:0.168345:0.903548:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lizar sistemas donde las fuerzas, velocidades o desplazamientos actúan en direccio-:@0.287495:0.184941:0.903642:0.184941:0.903642:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes perpendiculares. Esto permite simplificar cálculos, ya que componentes ortogo-:@0.287495:0.201538:0.903642:0.201538:0.903642:0.185149:0.287495:0.185149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nales no se afectan entre sí directamente, como veremos en el siguiente ejemplo.:@0.287495:0.218134:0.884011:0.218134:0.884011:0.201745:0.287495:0.201745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un avión vuela hacia el este, con una velocidad de 200 km/h. En ese momento, :@0.287495:0.241853:0.907751:0.241853:0.907751:0.225464:0.287495:0.225464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sopla un viento cruzado desde el norte hacia el sur, con una velocidad de 60 km/h. :@0.287495:0.258450:0.907602:0.258450:0.907602:0.242061:0.287495:0.242061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El piloto ajusta la dirección del avión para compensar el efecto del viento y mantener :@0.287495:0.275046:0.907620:0.275046:0.907620:0.258657:0.287495:0.258657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su rumbo este.:@0.287495:0.291642:0.395867:0.291642:0.395867:0.275253:0.287495:0.275253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.287495:0.315361:0.302403:0.315361:0.302403:0.298461:0.287495:0.298461:0.000000:0.000000
  Calcula el vector velocidad resultante del avión más el viento.:@0.302403:0.315361:0.764452:0.315361:0.764452:0.298972:0.302403:0.298972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.287495:0.335526:0.303712:0.335526:0.303712:0.318625:0.287495:0.318625:0.000000:0.000000
  ¿Son ortogonales los vectores velocidad del avión y del viento? :@0.303712:0.335526:0.781848:0.335526:0.781848:0.319137:0.303712:0.319137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.287495:0.355690:0.301316:0.355690:0.301316:0.338790:0.287495:0.338790:0.000000:0.000000
  Si el piloto quiere mantener su rumbo original (hacia el este), ¿qué vector veloci-:@0.301316:0.355690:0.903638:0.355690:0.903638:0.339302:0.301316:0.339302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dad adicional debe aplicar para contrarrestar el viento?:@0.315985:0.372287:0.717388:0.372287:0.717388:0.355898:0.315985:0.355898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Producto escalar. Vectores ortogonales:@0.286308:0.075160:0.862319:0.075160:0.862319:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
©Shutterstock:@0.070380:0.368446:0.070380:0.325620:0.058469:0.325620:0.058469:0.368446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los aviones corrigen su :@0.072616:0.425101:0.215953:0.425101:0.215953:0.411692:0.072616:0.411692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
velocidad por el viento para :@0.072616:0.437673:0.243197:0.437673:0.243197:0.424264:0.072616:0.424264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compensar su efecto en el :@0.072616:0.450245:0.234210:0.450245:0.234210:0.436835:0.072616:0.436835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vuelo.:@0.072616:0.462816:0.108318:0.462816:0.108318:0.449407:0.072616:0.449407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la :@0.116103:0.662940:0.248464:0.662940:0.248464:0.647575:0.116103:0.647575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
norma de un vector:@0.103488:0.678027:0.244994:0.678027:0.244994:0.662663:0.103488:0.662663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  :@0.176395:0.696673:0.196883:0.696673:0.196883:0.681309:0.176395:0.681309:0.000000:0.000000:0.000000:0.000000
0:@0.234575:0.696939:0.242221:0.696939:0.242221:0.682091:0.234575:0.682091:0.000000
A:@0.203157:0.697043:0.213300:0.697043:0.213300:0.682221:0.203157:0.682221:0.000000
≥:@0.222091:0.697511:0.231610:0.697511:0.231610:0.682858:0.222091:0.682858:0.000000
.:@0.242080:0.696679:0.244995:0.696679:0.244995:0.681780:0.242080:0.681780:0.000000
b):@0.115247:0.722454:0.129989:0.722454:0.129989:0.707090:0.115247:0.707090:0.000000:0.000000
  :@0.129989:0.722454:0.137327:0.722454:0.137327:0.707555:0.129989:0.707555:0.000000:0.000000
=:@0.161744:0.723878:0.171262:0.723878:0.171262:0.709225:0.161744:0.709225:0.000000
A:@0.143604:0.723409:0.153747:0.723409:0.153747:0.708588:0.143604:0.708588:0.000000
0:@0.174779:0.723305:0.182425:0.723305:0.182425:0.708458:0.174779:0.708458:0.000000
 :@0.182270:0.722459:0.185939:0.722459:0.185939:0.707560:0.182270:0.707560:0.000000
⇔:@0.185939:0.722082:0.203395:0.722082:0.203395:0.706680:0.185939:0.706680:0.000000
 :@0.203395:0.722459:0.207064:0.722459:0.207064:0.707560:0.203395:0.707560:0.000000
=:@0.219983:0.723829:0.229502:0.723829:0.229502:0.709176:0.219983:0.709176:0.000000
A:@0.207322:0.723360:0.217465:0.723360:0.217465:0.708539:0.207322:0.708539:0.000000
0.:@0.232758:0.723256:0.244097:0.723256:0.244097:0.708409:0.232758:0.708409:0.000000:0.000000
 :@0.244995:0.722459:0.248663:0.722459:0.248663:0.707560:0.244995:0.707560:0.000000
c):@0.134848:0.748234:0.147412:0.748234:0.147412:0.732869:0.134848:0.732869:0.000000:0.000000
  :@0.147412:0.748234:0.154749:0.748234:0.154749:0.733335:0.147412:0.733335:0.000000:0.000000
A:@0.171899:0.748950:0.182042:0.748950:0.182042:0.734128:0.171899:0.734128:0.000000
A:@0.226221:0.748950:0.236364:0.748950:0.236364:0.734128:0.226221:0.734128:0.000000
α:@0.158171:0.749372:0.124447:0.749372:0.128742:0.734720:0.162466:0.734720:0.000000
α:@0.202835:0.749372:0.169111:0.749372:0.173406:0.734720:0.207130:0.734720:0.000000
=:@0.189802:0.749419:0.199321:0.749419:0.199321:0.734766:0.189802:0.734766:0.000000
.:@0.242080:0.748239:0.244995:0.748239:0.244995:0.733340:0.242080:0.733340:0.000000
d):@0.124964:0.774013:0.139739:0.774013:0.139739:0.758649:0.124964:0.758649:0.000000:0.000000
  :@0.139739:0.774013:0.147077:0.774013:0.147077:0.759114:0.139739:0.759114:0.000000:0.000000
AB:@0.150995:0.774423:0.176327:0.774423:0.176327:0.759601:0.150995:0.759601:0.000000:0.000000
AB:@0.203011:0.774423:0.235313:0.774423:0.235313:0.759601:0.203011:0.759601:0.000000:0.000000
⋅≤:@0.162405:0.774892:0.193268:0.774892:0.193268:0.760239:0.162405:0.760239:0.000000:0.000000
.:@0.242080:0.774017:0.244995:0.774017:0.244995:0.759118:0.242080:0.759118:0.000000
e):@0.103169:0.799792:0.116856:0.799792:0.116856:0.784428:0.103169:0.784428:0.000000:0.000000
  :@0.116856:0.799792:0.124193:0.799792:0.124193:0.784893:0.116856:0.784893:0.000000:0.000000
AB:@0.130455:0.800203:0.161197:0.800203:0.161197:0.785381:0.130455:0.785381:0.000000:0.000000
A:@0.190239:0.800203:0.200382:0.800203:0.200382:0.785381:0.190239:0.785381:0.000000
B:@0.227032:0.800203:0.235302:0.800203:0.235302:0.785381:0.227032:0.785381:0.000000
+:@0.141847:0.800671:0.122254:0.800671:0.122254:0.786019:0.141847:0.786019:0.000000
≤:@0.170958:0.800671:0.151366:0.800671:0.151366:0.786019:0.170958:0.786019:0.000000
+:@0.208792:0.800671:0.218311:0.800671:0.218311:0.786019:0.208792:0.786019:0.000000
.:@0.242080:0.799797:0.244995:0.799797:0.244995:0.784898:0.242080:0.784898:0.000000
f):@0.104124:0.825571:0.115951:0.825571:0.115951:0.810207:0.104124:0.810207:0.000000:0.000000
  :@0.115951:0.825571:0.123288:0.825571:0.123288:0.810672:0.115951:0.810672:0.000000:0.000000
A:@0.129544:0.825983:0.139687:0.825983:0.139687:0.811161:0.129544:0.811161:0.000000
B:@0.166718:0.825983:0.174989:0.825983:0.174989:0.811161:0.166718:0.811161:0.000000
AB:@0.204048:0.825983:0.235171:0.825983:0.235171:0.811161:0.204048:0.811161:0.000000:0.000000
−:@0.148494:0.826451:0.121740:0.826451:0.121740:0.811799:0.148494:0.811799:0.000000
≤:@0.184767:0.826451:0.158013:0.826451:0.158013:0.811799:0.184767:0.811799:0.000000
−:@0.215820:0.826451:0.225339:0.826451:0.225339:0.811799:0.215820:0.811799:0.000000
.:@0.242080:0.825577:0.244995:0.825577:0.244995:0.810678:0.242080:0.810678:0.000000
     Matemática:@0.116036:0.630499:0.223577:0.630499:0.223577:0.613598:0.116036:0.613598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000