Mathematics

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 a. 0 b.

\frac{2}{3}

\frac{3}{5}

\frac{3}{4}