Solve this following


Let $\overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{b}}$ and $\overrightarrow{\mathrm{c}}$ be three unit vectors such that $\overrightarrow{\mathrm{a}} \times(\overrightarrow{\mathrm{b}} \times \overrightarrow{\mathrm{c}})=\frac{\sqrt{3}}{2}(\overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{c}})$. If $\overrightarrow{\mathrm{b}}$ is not parallel to $\overrightarrow{\mathrm{c}}$,

then the angle between $\vec{a}$ and $\vec{b}$ is :-

  1. $\frac{5 \pi}{6}$

  2. $\frac{3 \pi}{4}$

  3. $\frac{\pi}{2}$

  4. $\frac{2 \pi}{3}$

Correct Option: 1


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