Let and . If satisfies , find the possible value(s) of…

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

Problem

Let

\mathbf{a}=\langle 1,-1,2\rangle

and

\mathbf{b}=\langle 2,x,-3\rangle

. If

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

satisfies

\mathbf{c}\cdot\mathbf{c}=29

, find the possible value(s) of

x