(i)[5]
Show that the perpendicular distance from $A$ to $l$ has length $15$.
(ii)[5]
Line $l$ is contained in the plane with equation $ax + by - 3z + 1 = 0$, where $a$ and $b$ are constants. Find the values of $a$ and $b$.
Mathematics 9709 · AS & A Level · Vectors
Vectors — practice question
The line $l$ is given by equation $\mathbf{r} = 4\mathbf{i} - 9\mathbf{j} + 9\mathbf{k} + \lambda(-2\mathbf{i} + \mathbf{j} - 2\mathbf{k})$. Point $A$ has position vector $3\mathbf{i} + 8\mathbf{j} + 5\mathbf{k}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Write down a suitable vector such as $\vec{AP}$ or $\vec{BA}$ in component form” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI