If , , and are four coplanar points, then show…

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

Problem

\mathbf{a}

\mathbf{b}

\mathbf{c}

and

\mathbf{d}

are four coplanar points, then show that

[\mathbf{a} \mathbf{b} \mathbf{c}] = [\mathbf{b} \mathbf{c} \mathbf{d}] + [\mathbf{c} \mathbf{a} \mathbf{d}] + [\mathbf{a} \mathbf{b} \mathbf{d}]