Vector Algebra · JEE Main previous year questions

2016 1 question

1. Q262016 · 3 Apr 2016 · Shift 1

   Let $\vec{a},\vec{b}$ and $\vec{c}$ be three unit vectors such that $\vec{a}\times \left(\vec{b}\times \vec{c}\right)=\frac{\sqrt{3}}{2}\left(\vec{b}+\vec{c}\right)$. If $\vec{b}$ is not parallel to $\vec{c}$, then the angle between $\vec{a}$ and $\vec{b}$ is:

   1. A.$\frac{2\pi }{3}$
   2. B.$\frac{5\pi }{6}$
   3. C.$\frac{3\pi }{4}$
   4. D.$\frac{\pi }{2}$
   Show answer

   Answer: B