A vector of length \( a \) is turned through an angle \( (\alpha) \) about its tail. The change ...

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A vector of length \( a \) is turned through an angle \( (\alpha) \) about its tail. The change in the position vector of its head is
(A) \( 2 a \sin (\alpha / 2) \)
(B) \( 2 a \cos (\alpha / 2) \)
(C) \( 2 a \tan (\alpha / 2) \)
(D) \( 2 a \cot (\alpha / 2) \)
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