If unit vectors and are inclined at an angle such that and

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

Problem

If unit vectors

\mathbf{a}

and

\mathbf{b}

are inclined at an angle

2\theta

such that

|\mathbf{a} - \mathbf{b}| < 1

and

0 \le \theta < \pi

, then

\theta

lies in the interval (1)

[0, \pi/6]

(2)

(\pi/6, \pi/2]

(3)

[\pi/6, \pi/2]

(4)

(\pi/2, 5\pi/6]