If , where , and are any three vectors such that , , then and…

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

Problem

(\mathbf{a} \times \mathbf{b}) \times \mathbf{c} = \mathbf{a} \times (\mathbf{b} \times \mathbf{c})

, where

\mathbf{a}

\mathbf{b}

and

\mathbf{c}

are any three vectors such that

\mathbf{a} \cdot \mathbf{b} \neq 0

\mathbf{b} \cdot \mathbf{c} \neq 0

, then

\mathbf{a}

and

\mathbf{c}

are (1) inclined at an angle of

\frac{\pi}{6}

between them (2) perpendicular (3) parallel (4) inclined at an angle of

\frac{\pi}{3}

between them