Find the scalar components and magnitude of the vector joining the points $P(x_{1}, y_{1}, z_{1})$ and $Q(x_{2}, y_{2}, z_{2}).$

The vector joining the points $P(x_{1}, y_{1}, z_{1})$ and $Q(x_{2}, y_{2}, z_{2})$ is given by the displacement vector $\overrightarrow{PQ}$.
$\overrightarrow{PQ} = \text{Position vector of } Q - \text{Position vector of } P$
$= (x_{2} - x_{1})\hat{i} + (y_{2} - y_{1})\hat{j} + (z_{2} - z_{1})\hat{k}$
The scalar components of the vector $\overrightarrow{PQ}$ are $(x_{2} - x_{1})$,$(y_{2} - y_{1})$,and $(z_{2} - z_{1})$.
The magnitude of the vector $\overrightarrow{PQ}$ is given by $|\overrightarrow{PQ}| = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} + (z_{2} - z_{1})^{2}}$.