Question

If \[\overrightarrow{OA}=\vec{a}\] and \[\overrightarrow{OB}=\vec{b}\], what is \[\overrightarrow{AB}\]?

Options

• \[\overrightarrow{AB}=\vec{a}-\vec{b}\]

• \[\overrightarrow{AB}=\vec{b}-\vec{a}\]

• \[\overrightarrow{AB}=\vec{a}\vec{b}\]

• \[\overrightarrow{AB}=\vec{a}+\vec{b}\]

Answer 1

The vector joining \[A\] to \[B\] is obtained by subtracting the position vector of \[A\] from that of \[B\]. Therefore, \[\overrightarrow{AB}=\vec{b}-\vec{a}\].