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Quiz de Vectores en el Plano Cartesiano

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Quiz de Vectores en el Plano Cartesiano

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Vectores en el plano cartesiano

Created by

BRIGITTE NAYELY COYAGO SUAREZ
BRIGITTE NAYELY COYAGO SUAREZ
Ecuador

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Quiz de Vectores en el Plano Cartesiano
 

Quiz de Vectores en el Plano CartesianoOnline version

Vectores en el plano cartesiano

by BRIGITTE NAYELY COYAGO SUAREZ
1

Qué representa el vector (3, -4) en el plano?

2

¿Cuál es la magnitud de vector (3,4)?

3

¿Qué operación da (a,b) + (c,d)?

4

¿Cuál es el resultado del producto escalar de (1,2) y (3,4)?

5

¿Qué vector es perpendicular a (1,0)?

6

Qué significa un vector unitario?

7

Si v=(2,3) y w=(-2,3), ¿son paralelos?

8

Punto final de v=(1,2) tras sumar (3,-1)

9

La proyección de v sobre w es relevante para qué?

10

Qué indica el producto punto v·w cuando es 0?

Explicación

Un vector se identifica por sus componentes x e y (a la derecha/+x y arriba/+y); (-3,4) sería en dirección opuesta.

Magnitud = sqrt(3^2 + 4^2) = sqrt(9+16) = sqrt(25) = 5.

La suma de vectores se hace sumando cada componente.

Producto escalar = 1*3 + 2*4 = 3 + 8 = 11.

Un vector perpendicular a (1,0) tiene componente en y, p.ej. (0,1).

Un vector unitario tiene longitud 1 y apunta en una dirección específica.

No son múltiplos entre sí, por lo que no son paralelos.

Sumas componente a componente: (1+3, 2-1) = (4,1).

La proyección mide la componente de v en la dirección de w.

Si el producto punto es 0, los vectores son perpendiculares (o uno es cero).

 
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