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Let a⃗,b⃗\vec{a},\vec{b}a,b and c⃗\vec{c}c be three non-zero vectors such that no two of them are collinear and (a⃗×b⃗)×c⃗=13∣b⃗∣∣c⃗∣a⃗(\vec{a} \times \vec{b}) \times \vec{c}=\frac{1}{3} |\vec{b}||\vec{c}| \vec{a}(a×b)×c=31∣b∣∣c∣a. If θ\thetaθ is the angle between vectors b⃗\vec{b}b and c⃗\vec{c}c, then the value of sinθ\sin\thetasinθ is :
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