Let \( \vec{a}, \vec{b} \) and \( \vec{c} \) be three unit vectors such that \( \vec{a} \times(\...

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Let \( \vec{a}, \vec{b} \) and \( \vec{c} \) be three unit vectors such that \( \vec{a} \times(\vec{b} \times \vec{c})=\frac{\sqrt{3}}{2}(\vec{b}+\vec{c}) \). If \( \vec{b} \) is not parallel to \( \vec{c} \), then the angle between \( \vec{a} \) and \( \vec{b} \) is
(A) \( \frac{\pi}{2} \)
(B) \( \frac{2 \pi}{3} \)
(C) \( \frac{5 \pi}{6} \)
(D) \( \frac{3 \pi}{4} \)
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