(a(i))[1]
Express $\overrightarrow{XY}$ using $p$ and $q$.
(a(ii))[1]
Express $\overrightarrow{BC}$ using $p$ and $q$.
(a(iii))[2]
Express $\overrightarrow{XZ}$ using $p$ and $q$.
(b)[1]
Hence, find $XY : YZ$.
Mathematics 4024 · O Level · Vector geometry
Vector geometry — practice question
The diagram shows $X$ on $AB$ with $AX = \frac{1}{4}AB$, $Y$ on $AC$ with $AY = \frac{1}{3}AC$, and $Z$ on the extension of $BC$ with $CZ = 2BC$. Also, $\overrightarrow{AY} = p$ and $\overrightarrow{AX} = q$.