(a)[2]
Find a vector equation of $l$.
(b)[4]
The point $P$ is the foot of the perpendicular from $A$ to $l$. Find the position vector of $P$.
(c)[2]
$D$ is the reflection of $A$ in $l$. Find the position vector of $D$.
Mathematics 9709 · AS & A Level · Vectors
Vectors — practice question
Relative to the origin $O$, the position vectors of $A$, $B$ and $C$ are $\overrightarrow{OA} = i + 2j$, $\overrightarrow{OB} = i + 3j - 2k$ and $\overrightarrow{OC} = 2i - j + 3k$. The line $l$ goes through $B$ and $C$.