(i)[5]
Show that the perpendicular distance from $A$ to $l$ is $15$.
(ii)[5]
The 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 equation of line $l$ is $\mathbf{r} = 4\mathbf{i} - 9\mathbf{j} + 9\mathbf{k} + \lambda(-2\mathbf{i} + \mathbf{j} - 2\mathbf{k})$. Point $A$ is given by the 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: “Find $\vec{AP}$ (or $\vec{PA}$) for a point $P$ on $l$ when the parameter is $\lambda$” …
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