(a)[3]
Find, in degrees, the acute angle between the directions of $OA$ and $l$.
(b)[4]
Find the position vector of the foot of the perpendicular from $A$ onto $l$.
(c)[2]
Hence determine the position vector of the reflection of $A$ in $l$.
Mathematics 9709 · AS & A Level · Vectors
Vectors — practice question
With respect to origin $O$, point $A$ has position vector $overrightarrow{OA} = \mathbf{i} + 5\mathbf{j} + 6\mathbf{k}$. The line $l$ is represented by $\mathbf{r} = 4\mathbf{i} + \mathbf{k} + \lambda(-\mathbf{i} + 2\mathbf{j} + 3\mathbf{k})$.
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