Mathematics

Mathematics

Problem

For some non-zero vector

\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 a.

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

b.

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

c.

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

d.

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

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