(i)[3]
Find an equation of $p$, giving your answer in the form $ax + by + cz = d$.
(ii)[4]
Find the acute angle that lies between $p$ and the $y$-axis.
Mathematics 9709 · AS & A Level · Vectors
Vectors — practice question
The coordinates of points $A$ and $B$ are $(-1, 2, 5)$ and $(2, -2, 11)$, respectively. The plane $p$ passes through $B$ and is perpendicular to $AB$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Obtain $\pm\begin{pmatrix}3\\-4\\6\end{pmatrix}$ as a normal vector to the plane” …
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