Ques. -13

Geometry Level 4

Let a,b,c\vec{a},\vec{b},\vec{c} be non-zero vectors such that no two are collinear and (a×b)×c=13bca(\vec{a} \times \vec{b}) \times \vec{c}=\frac{1}{3} \cdot |\vec{b}| \cdot |\vec{c}| \cdot \vec{a}. If θ\theta is the acute angle between the vectors b and c\vec{b} \ and \ \vec{c}, then sinθsin\theta is equal to :


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