If with , show that , where is a…

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

Problem

\mathbf{a}\times\mathbf{b}=\mathbf{b}\times\mathbf{c}\ne\mathbf{0}

with

\mathbf{a}\ne-\mathbf{c}

, show that

\mathbf{a}+\mathbf{c}=k\mathbf{b}

, where

k

is a scalar.