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

The vector with the initial point P (2, 1) and terminal point Q (–5, 7) can be given by,

$\overrightarrow{\mathrm{PQ}}=(-5-2) \hat{i}+(7-1) \hat{j}$

$\Rightarrow \overrightarrow{\mathrm{PQ}}=-7 \hat{i}+6 \hat{j}$

Hence, the required scalar components are $-7$ and 6 while the vector components are $-7 \hat{i}$ and $6 \hat{j}$.