Let â, b̂ and ĉ  be three unit vectors such that  \(\hat a \times (\hat b \times \hat c)=\frac{\sqrt3}{2}(\hat b+ \hat c)\). If b̂ is not parallel to ĉ, then the angle between â and ĉ is

1
\(\frac{\pi}{6}\)
2
3
\(\frac{5\pi}{6}\)
4
More than one of the above
5
None of the above

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