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Question

Mathematics Question on Vectors

Let a,b,c\vec{a}, \vec{b}, \vec{c} be three vectors having magnitudes 1, 1 and 2 respectively. If a×(a×c)+b=0\vec{a}\times(\vec{a}\times\vec{c})+\vec{b}=\vec{0}, then the angle between a\vec{a} and c\vec{c} is

A

π6\frac{\pi}{6}

B

5π6\frac{5\pi}{6}

C

π3\frac{\pi}{3}

D

Both A and B

Answer

Both A and B

Explanation

Solution

The correct option is (D) : Both A and B.