If and are unit vectors and is the acute angle between them

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

Problem

\mathbf{u}

and

\mathbf{v}

are unit vectors and

\theta

is the acute angle between them, then

2\mathbf{u} \times 3\mathbf{v}

is a unit vector for (1) exactly two values of

\theta

(2) more than two values of

\theta

(3) no value of

\theta

(4) exactly one value of

\theta