Question

If $\overrightarrow{a}$and $\overrightarrow{b}$are two non-collinear vectors such that $x\overrightarrow{a}+y\overrightarrow{b}=\overrightarrow{0},$ then write the values of x and y.

Answer 1

We have, $x\overrightarrow{a}+y\overrightarrow{b}=\overrightarrow{0}$
$\Rightarrow x=0\mathrm{and}y=0$[$\because$ $\overrightarrow{a}$ and $\overrightarrow{b}$ are non-collinear vectors]