Show that the perpendicular distance of the point from the joining and is | b c + c a…

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

Problem

Show that the perpendicular distance of the point

C

from the joining

\mathbf{a}

and

\mathbf{b}

\frac{|\mathbf{b} \times \mathbf{c} + \mathbf{c} \times \mathbf{a} + \mathbf{a} \times \mathbf{b}|}{|\mathbf{b} - \mathbf{a}|}