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Desafío del Producto Vectorial

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Desafío del Producto Vectorial

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Desafío rápido sobre producto vectorial

Created by

Gabriel Gutama
Gabriel Gutama
Ecuador

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Desafío del Producto Vectorial
 

Desafío del Producto VectorialOnline version

Desafío rápido sobre producto vectorial

by Gabriel Gutama
1

¿Qué es el producto vectorial entre dos vectores a y b?

2

El vector resultante a×b es perpendicular a:

3

La magnitud de a×b es igual a:

4

El sentido de a×b se determina con:

5

Propiedad anti conmutativa del producto vectorial:

6

Si a y b son paralelos, entonces a×b:

7

La magnitud de a×b representa:

8

Si a y b están en el plano XY, el vector resultante a×b apunta principalmente en:

9

Componente z de a×b en términos de componentes de a y b es:

10

Si a=(1,0,0) y b=(0,1,0), ¿qué vector es a×b?

Explicación

El producto vectorial genera un vector perpendicular a ambos vectores dados.

Por definición, a×b es perpendicular a los planos formados por a y b, es decir, a y b.

La magnitud depende del producto de las magnitudes y del seno del ángulo entre ellos.

La regla de la mano derecha define la dirección del vector resultante.

El producto vectorial invierte su sentido al intercambiar los factores.

Vectores paralelos producen un vector nulo al cruzarse.

|a×b| es el área del paralelogramo cuyo lado es a y b.

El vector es perpendicular al plano XY, por lo que va en Z.

La componente z se obtiene con la expresión axby − aybx.

Cruzar i con j da k, es decir (0,0,1).

 
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