Question

If $\overline{a}=\left(1,-1\right)$ and $\overline{b}=\left(1,0\right)$ then comp $\overline{a}\overline{b}=..........$

Answer 1

Given, $\overline{a}=(1,-1)\overline{b}=(1,0)$

the component of $\overline{a}on\overline{b}=\overline{a}.\overline{b}$

then,

$=\frac{\overline{a}.\overline{b}}{\left|b\right|}$

$=\frac{(\hat{i}-\hat{j}).\left(\hat{i}\right)}{111}=\frac{1-0}{1}=1$

$so,comp\overline{a}.\overline{b}=1$