Show that the vector component of perpendicular to a non-zero vector is given by .

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

Problem

Show that the vector component of

\vec A

perpendicular to a non-zero vector

\vec B

is given by

\vec A_{\perp} = \vec A - \dfrac{\vec A\cdot\vec B}{|\vec B|^{2}}\,\vec B