EM-3172

Vector geometry

E Math · Secondary 4 · Hard · Vector geometry

In a parallelogram

OXYZ

,

\overrightarrow{OX} = p

and

\overrightarrow{OY} = q

. Point

M

is the midpoint of side

YZ

. Express

\overrightarrow{OM}

in terms of

p

and

q

.

$\dfrac12 p + q$
$p + q$
$q - \dfrac12 p$
$\dfrac12(p+q)$

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