Vectors Proof Questions

In a structural design, a frame is represented by points $X\,$ and $Y$ .

\vec{OX} = 10\mathbf{p}

\vec{OY} = 4\mathbf{q}

$A\,$ is the point on $OX\,$ such that $O A : A X = 3 : 2$ $M\,$ is the midpoint of $X Y$ $B\,$ is the point such that $O Y : O B = 1 : 3$

Show that $M\,$ and $B\,$ are collinear.

[5]

In a structural design, a frame is represented by points $X\,$ and $Y$ .

\vec{OX} = 10\mathbf{p}

\vec{OY} = 4\mathbf{q}

$A\,$ is the point on $OX\,$ such that $O A : A X = 3 : 2$ $M\,$ is the midpoint of $X Y$ $B\,$ is the point such that $O Y : O B = 1 : 3$

Show that $M\,$ and $B\,$ are collinear.

[5]

Vectors Proof Questions Questions