Let be three vectors of magnitude 1, 1 and 2 respectively

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

\mathbf{a}, \mathbf{b}, \mathbf{c}

be three vectors of magnitude 1, 1 and 2 respectively. If

\mathbf{a} \times (\mathbf{a} \times \mathbf{c}) + \mathbf{b} = 0

, then the acute angle between

\mathbf{a}

and

\mathbf{c}

is (1)

\frac{\pi}{3}

(2)

\frac{\pi}{4}

(3)

\frac{\pi}{6}

(4) None of these