MCQ
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$3$
- ✓$3 \sqrt{2}$
- C$5$
- D$5 \sqrt{3}$
✓
Answer
Correct option: B.
$3 \sqrt{2}$
b
(b)
(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.
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