EM-1439

Position vectors

E Math · Secondary 3 · Hard · Position vectors

The position vectors of A and B are

\vec{OA} = \mathbf{a}

and

\vec{OB} = \mathbf{b}

. M is the midpoint of AB. What is

\vec{OM}

in terms of

\mathbf{a}

and

\mathbf{b}

?

$\dfrac{\mathbf{a} + \mathbf{b}}{2}$
$\mathbf{a} + \mathbf{b}$
$\dfrac{\mathbf{b} - \mathbf{a}}{2}$
$\dfrac{\mathbf{a} - \mathbf{b}}{2}$

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