Answer
Position vectors ${\bf{u}}$ with endpoints $A$, $B$ and $C$ in diagrams, such that ${\bf{u}} = r{\bf{v}} + s{\bf{w}}$.
Work Step by Step
1. Position vector ${\bf{u}}$ with endpoint $A$.
${\bf{u}} = \overrightarrow {OA} = r{\bf{v}} + s{\bf{w}}$,
where $r$ and $s$ are scalars.
2. Position vector ${\bf{u}}$ with endpoint $B$.
${\bf{u}} = \overrightarrow {OB} = r{\bf{v}} + s{\bf{w}}$,
where $r$ and $s$ are scalars.
3. Position vector ${\bf{u}}$ with endpoint $C$.
${\bf{u}} = \overrightarrow {OC} = r{\bf{v}} + s{\bf{w}}$,
where $r$ and $s$ are scalars.
