(a)[1]
Express $\vec{AC}$ in the simplest form possible using $\vec{a}$ and $\vec{c}$.
(b)[2]
Find the position vector for $X$.
(c)[2]
Find the vector $\vec{YX}$.
Mathematics 4024 · O Level · Vector geometry
Vector geometry — practice question
The diagram shows parallelogram $OABC$. The vector $\vec{OA}$ is $\vec{a}$ and $\vec{OC}$ is $\vec{c}$. $X$ lies halfway along $AC$. $Y$ is on $AB$ such that $AY : YB = 2 : 1$.