Let and be non-zero vectors such that and the angle between them is

MATHEMATICS · Multi-part · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

\mathbf{a}

and

\mathbf{b}

be non-zero vectors such that

|\mathbf{a}| = 3|\mathbf{b}|

and the angle between them is

\theta

. If

\mathbf{a}\cdot\mathbf{b} = |\mathbf{b}|^{2}

, determine the following: (i) the value of

\cos\theta

(ii) the angle

\theta