Vector Algebra

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