(a)[1]
Find $\overrightarrow{XY}$ using $a$ and $b$.
(b)[4]
Find the ratio of $OT$ to $TP$.
Mathematics 0580 · IGCSE · Vector geometry
Vector geometry — practice question
A quadrilateral $OXPY$ is shown, and its diagonals intersect at $T$. The vector $\overrightarrow{OX}$ is $3a$, while $\overrightarrow{OY}$ is $12b$. The upper side $YP$ has the label $5a - 2b$. The left side is marked $12b$, and the bottom side $OX$ is marked $3a$. The diagram is NOT TO SCALE.