If , , and are unit vectors such that and the angle between and is , find…

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

\mathbf{a}

\mathbf{b}

, and

\mathbf{c}

are unit vectors such that

\mathbf{a}\cdot\mathbf{b}=0=\mathbf{a}\cdot\mathbf{c}

and the angle between

\mathbf{b}

and

\mathbf{c}

\frac{\pi}{3}

, find

\left|\mathbf{a}\times\mathbf{b}-\mathbf{a}\times\mathbf{c}\right|