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