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For some non zero vector \( \vec{V} \), if the sum of \( \vec{V} \) and the vector obtained from \( \vec{V} \) by
W rotating it by an angle \( 2 \alpha \) equals to the vector obtained from \( \overline{\mathrm{V}} \) by rotating it by \( \alpha \) then the value of \( \alpha \), is where \( n \) is an integer.
A \( \quad 2 \mathrm{n} \pi=\frac{\pi}{3} \)
B \( \quad \mathrm{n} \pi \pm \frac{\pi}{3} \)
C \( 2 n \pi \pm \frac{2 \pi}{3} \)
D \( \mathrm{n} \pi \pm \frac{2 \pi}{3} \)
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