Quiz about Actividad de repaso geometría analítica

Question 1

Dados los puntos $$A\left(1,0\right)$$ y $$B\left(0,2\right)$$ , el vector $$\overrightarrow{AB}$$ viene dado por:

Accepted Answer

$$(-1,2)$$

Answer

$$(-1,-2)$$

Answer

$$(1,2)$$

Answer

$$(0,0)$$

Question 2

Si tenemos los vectores $$\overrightarrow{u}\left(1,2\right)$$ y $$\overrightarrow{v}\left(-3,4\right)$$ , entonces se cumple que:

Accepted Answer

$$\overrightarrow{u}+\overrightarrow{v}=\left(-2,6\right)$$

Answer

$$\overrightarrow{u}-\overrightarrow{v}=\left(-4,6\right)$$

Answer

$$\overrightarrow{u}+\overrightarrow{v}=\left(-4,2\right)$$

Answer

$$\overrightarrow{u}-\overrightarrow{v}=\left(4,6\right)$$

Question 3

El producto escalar de los vectores $$\overrightarrow{u}\left(-1,0\right)$$ y $$\overrightarrow{v}\left(3,6\right)$$ es:

Accepted Answer

-3

Answer

2

Answer

-4

Answer

0

Question 4

Los vectores $$\overrightarrow{v}\left(-1,3\right)$$ y $$\overrightarrow{w}\left(-2,6\right)$$ forman base

Accepted Answer

Falso

Answer

Verdadero

Question 5

El vector director de la recta $$r:\ \frac{x-1}{2}=\frac{y+3}{3}$$ es

Accepted Answer

$$\left(2,3\right)$$

Answer

$$\left(-1,3\right)$$

Answer

$$\left(1,-3\right)$$

Answer

Esta recta no tiene vector director

Question 6

El punto $$P\left(2,0\right)$$ pertenece a la recta $$\frac{x-2}{3}=\frac{y}{-2}$$

Accepted Answer

Verdadero

Answer

Falso

Question 7

La pendiente de una recta se halla dividiendo la segunda coordenada del punto entre la primera coordenada del punto

Accepted Answer

Falso

Answer

Verdadero

Question 8

Dada la recta $$\frac{x+3}{-2}=\frac{y-2}{5}$$ tenemos que:

Accepted Answer

Un punto es el $$A\left(-3,2\right)$$ y su vector director es el $$\left(-2,5\right)$$

Answer

Un punto es el $$A\left(3,-2\right)$$ y su vector director es el $$\left(-2,5\right)$$

Answer

Un punto es el $$A\left(3,2\right)$$ y su vector director es el $$\left(2,-5\right)$$

Answer

Un punto es el $$A\left(-2,5\right)$$ y su vector director es el $$\left(3-2\right)$$

Question 9

El punto $$Q\ \left(3,-6\right)$$ pertenece a la recta $$\frac{x-1}{2}=\frac{y+12}{6}$$

Accepted Answer

Verdadero

Answer

Falso

Question 10

La pendiente de la recta $$y=3x-2$$ es:

Accepted Answer

$$3$$

Answer

$$-3$$

Answer

$$-2$$

Answer

Eso no es una recta

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