Question

Component of $(1,1)$ along $(3,4)$ is ?

Answer 1

Let $a=(1,1)$

$b=(3,4)$

Projection of $a$ along $b=\frac{\overrightarrow{a}.\overrightarrow{b}}{|\overrightarrow{b}{|}^2}.\overrightarrow{b}$

$=\frac{3.1+4.1}{3^2+4^2}(3,4)$

$=\frac{7}{25}(3,4)$

$\therefore$ Projection of $(1,1)$ along $(3,4)$ is $\frac{7}{25}(3,4)$