If bar{x} is a non-zero vector and k 0, k n | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let $\bar{u} = \frac{\bar{x}}{|\bar{x}|}$ be the unit vector in the direction of $\bar{x}$.Then the given expression is $-k \bar{u}$.Since $k > 0$

Vedclass · Accepted Answer

in the opposite direction of $\bar{x}$ having magnitude $k$

Vedclass · Answer

(C) Let $\bar{u} = \frac{\bar{x}}{|\bar{x}|}$ be the unit vector in the direction of $\bar{x}$.Then the given expression is $-k \bar{u}$.Since $k > 0$,the magnitude of $-k \bar{u}$ is $|-k| |\bar{u}| = k 	imes 1 = k$.The negative sign indicates that the vector is in the opposite direction of $\bar{u}$,which is the opposite direction of $\bar{x}$.Therefore,the vector is in the opposite direction of $\bar{x}$ and has a magnitude of $k$.

If $\bar{x}$ is a non-zero vector and $k > 0, k \neq 1$,then $\frac{-k \bar{x}}{|\bar{x}|}$ is $.......$ .

Similar Questions

If $2 \overrightarrow{a} + 3 \overrightarrow{b} - 5 \overrightarrow{c} = \overrightarrow{0}$,then the ratio in which $\overrightarrow{c}$ divides $\overrightarrow{AB}$ is

The position vector of the point of intersection of the medians (centroid) of a triangle,whose vertices are $A(1, 2, 3)$,$B(1, 0, 3)$,and $C(4, 1, -3)$ is

If $a$ and $b$ are two non-collinear vectors and $xa + yb = 0$,then:

If non-zero vectors $\vec{a}$,$\vec{b}$,and $\vec{c}$ are related by $\vec{a} = 8\vec{b}$ and $\vec{c} = -7\vec{b}$,find the angle between $\vec{a}$ and $\vec{c}$.

The position vector of a point at a distance of $3\sqrt{11}$ units from $i - j + 2k$ on a line passing through the points $i - j + 2k$ and $3i + j + k$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module