Question

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

Answer 1

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