Vectors Proof Questions

$GHIJKL\,$ is a regular hexagon with centre $O$ .

\vec{OG} = \mathbf{g}

\vec{OH} = \mathbf{h}

$M\,$ is a point on $HI\,$ such that $H M : M I = 1 : 3$ . $X\,$ is the point on $GH\,$ extended, such that $G H : H X = 7 : 2$ .

Prove that $K$ , $M\,$ and $X\,$ are on the same straight line.

[5]

$GHIJKL\,$ is a regular hexagon with centre $O$ .

\vec{OG} = \mathbf{g}

\vec{OH} = \mathbf{h}

$M\,$ is a point on $HI\,$ such that $H M : M I = 1 : 3$ . $X\,$ is the point on $GH\,$ extended, such that $G H : H X = 7 : 2$ .

Prove that $K$ , $M\,$ and $X\,$ are on the same straight line.

[5]

Vectors Proof Questions Questions