The non-zero vectors vec{a},vec{b},and vec{c} | vedclass

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

Question

(D) Given that $\vec{a} = 8\vec{b}$ and $\vec{c} = -7\vec{b}$.Since $\vec{a}$ is a positive scalar multiple of $\vec{b}$,$\vec{a}$ is in the same dire

Vedclass · Accepted Answer

$180$

Vedclass · Answer

(D) Given that $\vec{a} = 8\vec{b}$ and $\vec{c} = -7\vec{b}$.Since $\vec{a}$ is a positive scalar multiple of $\vec{b}$,$\vec{a}$ is in the same direction as $\vec{b}$.Since $\vec{c}$ is a negative scalar multiple of $\vec{b}$,$\vec{c}$ is in the opposite direction to $\vec{b}$.Therefore,$\vec{a}$ and $\vec{c}$ are in opposite directions.The angle between two vectors pointing in opposite directions is $180^\circ$ (or $\pi$ radians).Thus,the angle between $\vec{a}$ and $\vec{c}$ is $180^\circ$.

The non-zero vectors $\vec{a}$,$\vec{b}$,and $\vec{c}$ are related by $\vec{a} = 8\vec{b}$ and $\vec{c} = -7\vec{b}$. Then the angle between $\vec{a}$ and $\vec{c}$ is ............... $^\circ $

Similar Questions

Which of the following statements is true?

Find the unit vector in the direction of the sum of the vectors $\vec{a}=2 \hat{i}-\hat{j}+2 \hat{k}$ and $\vec{b}=-\hat{i}+\hat{j}+3 \hat{k}$.

The vectors $3i + j - 5k$ and $ai + bj - 15k$ are collinear if $....$

Find the unit vector in the direction of the vector $\vec{a} = \hat{i} + \hat{j} + 2\hat{k}$.

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module