For some non-zero vector

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

\mathbf{V}

, if the sum of

\mathbf{V}

and the vector obtained from

\mathbf{V}

by rotating it by

\angle 2\alpha

equals to the vector obtained from

\mathbf{V}

by rotating it by

\angle \alpha

, then the value of

\alpha

is (1)

2n\pi \pm \frac{\pi}{3}

(2)

n\pi \pm \frac{\pi}{3}

(3)

2n\pi \pm \frac{2\pi}{3}

(4)

n\pi \pm \frac{2\pi}{3}