Question

If P, Q and R are three collinear points such that $\overrightarrow{PQ}=\overrightarrow{a}$ and $\overrightarrow{QR}=\overrightarrow{b}$. Find the vector $\overrightarrow{PR}$.

Answer 1

Given: $P,Q$ and $R$ are collinear such that $\overrightarrow{PQ}=\overrightarrow{a}$ and $\overrightarrow{QR}=\overrightarrow{b}$. Then,
$\overrightarrow{PQ}+\overrightarrow{QR}=\overrightarrow{PR}$
$\Rightarrow \overrightarrow{PR}=\overrightarrow{a}+\overrightarrow{b}$