What is the magnitude of a new vector obtaine | vedclass

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

Question

(A) When a vector $\vec{A}$ is multiplied by a scalar $k$,the new vector is $\vec{A}' = k\vec{A}$.The magnitude of the new vector is given by $|\vec{A

Vedclass · Accepted Answer

The magnitude becomes $\frac{3}{2}$ times the original magnitude.

Vedclass · Answer

(A) When a vector $\vec{A}$ is multiplied by a scalar $k$,the new vector is $\vec{A}' = k\vec{A}$.The magnitude of the new vector is given by $|\vec{A}'| = |k| \cdot |\vec{A}|$.Here,$k = -\frac{3}{2}$.Therefore,the magnitude is $|-\frac{3}{2}| \cdot |\vec{A}| = \frac{3}{2} |\vec{A}|$.Thus,the magnitude of the new vector is $\frac{3}{2}$ times the magnitude of the original vector.

What is the magnitude of a new vector obtained by multiplying a vector $\vec{A}$ by $-\frac{3}{2}$?

Similar Questions

Mark the correct statement :-

$\overrightarrow{A} = 4\hat{i} + 3\hat{j}$ and $\overrightarrow{B} = 4\hat{i} + 2\hat{j}$. Find a vector parallel to $\overrightarrow{A}$ but with a magnitude five times that of $\overrightarrow{B}$.

Given: $\vec{A} = 2\hat{i} + p\hat{j} + q\hat{k}$ and $\vec{B} = 5\hat{i} + 7\hat{j} + 3\hat{k}$. If $\vec{A} \parallel \vec{B}$,then the values of $p$ and $q$ are,respectively:

If a unit vector is represented as $\overrightarrow{u} = 0.4 \hat{i} + 0.7 \hat{j} + c \hat{k}$,then the value of '$c$' is

The angles which a vector $\hat{i} + \hat{j} + \sqrt{2} \hat{k}$ makes with $X, Y$ and $Z$ axes respectively are

Vedclass Test Series

Exam Paper Generator

Online Exam Module