(i)[4]
Find the shortest distance from $P$ to $l$.
(ii)[5]
Find the equation of the plane containing $P$ and $l$, and give your answer in the form $ax + by + cz = d$, where $a$, $b$, $c$ and $d$ are integers.
Mathematics 9709 · AS & A Level · Vectors
Vectors — practice question
Point $P$ is at coordinates $(-1, 4, 11)$, while line $l$ is given by $\mathbf{r} = \begin{pmatrix}1 \\ 3 \\ -4\end{pmatrix} + \lambda \begin{pmatrix}2 \\ 1 \\ 3\end{pmatrix}$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Obtain vector $\pm\begin{pmatrix}2\\-1\\-15\end{pmatrix}$ for $\vec{PA}$ or an equivalent result” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI