Displacement of a particle from a point having position vector 2 hat{i}+4 hat{j} to another point ha

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3-2.Motion in Plane

easy

The displacement of a particle from a point having position vector $2 \hat{i}+4 \hat{j}$ to another point having position vector $5 \hat{i}+1 \hat{j}$ is ........ units

A

$3$

B

$3 \sqrt{2}$

C

$5$

D

$5 \sqrt{3}$

Solution

(b)

The displacement will be magnitude of the difference $(5 \hat{i}+1 \hat{j})-(2 \hat{i}+4 \hat{j})$.

$=(5-2) \hat{i}+(1-4) \hat{j}$

$=3 \hat{i}-3 \hat{j}$

the magnitude is $\sqrt{3^2+3^2}=3 \sqrt{2}$

Hence,option $(B)$ is correct answer.

Standard 11

Physics

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