Question

Find the scalar and vector components of the vector with initial point $(2,1)$ and terminal point $(-5,7)$

Answer 1

The vector with the initial point $P(2,1)$ and terminal point $Q(-5,7)$ can be given by,
$\overrightarrow{PQ}=(-5-2)\hat{i}+(7-1)\hat{j}$
$\Rightarrow \overrightarrow{PQ}=-7\hat{i}+6\hat{j}$
Hence, the required scalar components are $-7$ and $6$ while the vector components are $-7\hat{i}$ and $6\hat{j}$.