Vector Algebra · JEE Main previous year questions

2015 1 question

1. Q272015 · 4 Apr 2015 · Shift 1

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

   1. A.$\frac{2}{3}$
   2. B.$\frac{-2\sqrt{3}}{3}$
   3. C.$\frac{2\sqrt{2}}{3}$
   4. D.$\frac{-\sqrt{2}}{3}$
   Show answer

   Answer: C