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Quiz de Vectores y Coordenadas (Español)

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Quiz de Vectores y Coordenadas (Español)

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Coordenadas y vectores en el plano

Created by

Erick Salazar
Erick Salazar
Ecuador

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Quiz de Vectores y Coordenadas (Español)
 

Quiz de Vectores y Coordenadas (Español)Online version

Coordenadas y vectores en el plano

by Erick Salazar
1

¿Qué tipo de coordenadas usan x e y para describir un punto en el plano?

2

En coordenadas polares, ¿qué representa la coordenada r?

3

El ángulo polar θ se mide desde, típicamente, ¿qué eje?

4

Transformación de (x,y) a (r,θ) en coordenadas polares requiere, correctamente, ¿qué?

5

Las coordenadas geográficas consisten principalmente en:

6

En un plano, un vector se define por:

7

El módulo (o norma) de un vector se obtiene normalmente como:

8

El sentido de un vector se refiere a:

9

En coordenadas polares, ¿qué representa θ?

10

¿Qué fórmula describe la conversión de (r, θ) a (x, y) en coordenadas polares?

Explicación

Las coordenadas rectangulares especifican la posición con x e y.

r es la distancia radial desde el origen.

θ se mide desde el eje x positivo, en sentido usualmente counterclockwise.

La magnitud es r y el ángulo es θ obtenido con atan2.

Se representan como latitud y longitud en la superficie de la Tierra.

Un vector tiene magnitud (longitud) y dirección (orientación).

El módulo en 2D es la raíz cuadrada de la suma de cuadrados de sus componentes.

Sentido describe hacia dónde apunta el vector en el plano.

θ es el ángulo respecto al eje x positivo.

Las coordenadas cartesianas se obtienen con x = r cos θ, y = r sin θ.

 
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