Question

If vector x * vector b = vector c * vector b and vector x . vector c =0 then find vector x

Answer 1

$\bar{x}\times\bar{b}=\bar{c}\times\bar{b}=>\begin{matrix} or\ \bar{x}=\bar{c} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ or\ \bar {b}=0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ or\ \bar{x}=\bar{c}=0 \ and\ \bar{b}\not=0 \end{matrix}$

Given $\bar{x}\cdot\bar{c}=0$

If $\bar{b}\not=0,$ then $\bar{x}=0$