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Vectorial Diagnóstico

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Vectorial Diagnóstico

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About this activity

Examen corto de vectores y cálculo

Created by

Yuridiana Lopez Arias
Yuridiana Lopez Arias
Mexico

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Vectorial Diagnóstico
 

Vectorial DiagnósticoOnline version

Examen corto de vectores y cálculo

by Yuridiana Lopez Arias
1

¿Qué resultado da el producto cruz entre, por ejemplo, A=(1,0,0) y B=(0,1,0)?

2

Si A=(1,2,3) y B=(4,5,6), ¿cuál es el producto punto A·B?

3

¿Cuál es la propiedad del producto punto respecto a la ortogonalidad?

4

Calcula la derivada de f(x)=3x^2+2x+1

5

¿La integral indefinida de x^3 es?

6

Si A∘B es un vector resultante, ¿qué cantidad describe A×B?

7

¿Cómo se interpreta el producto escalar en términos de ángulo θ entre A y B?

8

Derivada de f(x)=sin(x)

9

¿Qué significa la derivada de una función?

10

Si la integral definida ∫_0^2 2x dx se evalúa, ¿cuál es su valor?

Explicación

El cruzado de i y j es k; signos siguen la regla i×j=k, j×k=i, k×i=j.

A·B = 1*4 + 2*5 + 3*6 = 4 + 10 + 18 = 32.

Si A·B=0, A y B son ortogonales.

Regla básica de potencias: d/dx x^n = n x^{n-1}.

Integración de x^n: ∫x^n dx = x^{n+1}/(n+1) + C, para n≠-1.

Cross product da un vector perpendicular con norma |A||B|sinθ.

El coseno del ángulo da la proyección; producto punto es magnitud multiplicada por cosθ.

La derivada de sin x es cos x.

La derivada da la pendiente de la recta tangente en cada punto.

∫ 2x dx = x^2, evaluado 0 a 2 da 4.

 
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