Vectors Proof Questions

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

Diagram of a regular hexagon ABCDEF with center O. Vector a is OA and vector b is OB. M is the midpoint of BC.

\vec{OA} = \mathbf{a}

\vec{OB} = \mathbf{b}

$M\,$ is the midpoint of $B C$ . $X\,$ is the point on $AB\,$ extended, such that $A B : B X = 3 : 2$

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

[5]

Vectors Proof Questions

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

Diagram of a regular hexagon ABCDEF with center O. Vector a is OA and vector b is OB. M is the midpoint of BC.

\vec{OA} = \mathbf{a}

\vec{OB} = \mathbf{b}

$M\,$ is the midpoint of $B C$ . $X\,$ is the point on $AB\,$ extended, such that $A B : B X = 3 : 2$

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

[5]

Vectors Proof Questions

Vectors Proof Questions Questions