Let and be the three vectors having magnitudes 1, 5 and 3 respectively such that the…

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

Problem

Let

\mathbf{a}, \mathbf{b}

and

\mathbf{c}

be the three vectors having magnitudes 1, 5 and 3 respectively such that the angle between

\mathbf{a}

and

\mathbf{b}

\theta

and

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

, then

\tan \theta

is equal to (1) 0 (2)

\frac{2}{3}

(3)

\frac{3}{5}

(4)

\frac{3}{4}