If a^, b^, c^ are three unit vectors such that b^ and c^ are non-parallel and a^×(b^×c^)=12b^ , find the angle between a^ and c<mo .

If $\hat{a}, \hat{b}, \hat{c}$ are three unit vectors such that $\hat{b}$ and $\hat{c}$ are non-parallel and $\hat{a} \times (\hat{b} \times \hat{c}) = \frac{1}{2} \hat{b}$ , find the angle between $\hat{a}$ and $\overset{<mo .}{c}$

Match the items on the right to the items on the left.