If angle between two vectors $\vec{a}$ and $\vec{b}$ is $\frac{\pi}{4}$ rad then angle between vectors $2 \vec{a}$ and $4 \vec{b}$ is

NEET UG PHYSICS MCQ: MOTION IN PLANE

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If angle between two vectors

\vec{a}

and

\vec{b}

\frac{\pi}{4}

rad then angle between vectors

2 \vec{a}

and

4 \vec{b}

View answer and explanation

Correct option: B

\frac{\pi}{4} \mathrm{~rad}

The angle between two vectors is independent of their magnitudes. Multiplying vectors by scalar constants does not change the angle between them. Therefore, the angle remains

\frac{\pi}{4}

rad, making option B correct.

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