Let $\overrightarrow{a},\overrightarrow{b}$ and $\overrightarrow{a}$ be three non-zero vectors such that no two of them are col linear and $(\overrightarrow{a},\overrightarrow{b}) \times \overrightarrow{c}= \frac{1}{3}|\overrightarrow{b}||\overrightarrow{c}|,\overrightarrow{a}$. If $\theta$ is the angle between vector $\overrightarrow{b}$ and $\overrightarrow{c}$, then a value of $\sin \theta$ is :

Question

$\begin{array}{1 1} \frac{- \sqrt 2}{3} \\ \frac{2}{3} \\ \frac{-2 \sqrt{3}}{3} \\ \frac{2 \sqrt 2}{3} \end{array}$