Relative to origin $O$, the vertices $A,B,C$ of a triangle have position vectors \(\mathbf{a},\m

Question

Relative to origin $O$, the vertices $A,B,C$ of a triangle have position vectors $\mathbf{a},\mathbf{b},\mathbf{c}$ respectively. Points $M$ and $N$ are the midpoints of $AB$ and $AC$. Use vectors to prove that $MN$ is parallel to $BC$ and half its length.[4]

Accepted Answer

$\overrightarrow{MN}=\dfrac12\overrightarrow{BC}$; parallel and half the length

A midpoint theorem by vectors

A midpoint theorem by vectors

Solution:

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