Identify which of the following expressions always gives a unit vector perpendicular…

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

Problem

Identify which of the following expressions always gives a unit vector perpendicular to two non-parallel vectors

\mathbf{a}

and

\mathbf{b}

: (a)

(\mathbf{a}\times\mathbf{b})/(|\mathbf{a}|\,|\mathbf{b}|)

(b)

(\mathbf{a}\times\mathbf{b})/\lvert\mathbf{a}\times\mathbf{b}\rvert

(c)

\mathbf{a}\times\mathbf{b}

(d)

(\mathbf{a}+\mathbf{b})/\lvert\mathbf{a}+\mathbf{b}\rvert