(a(i))[4]
Show that the line through $A$ and $B$ does not meet $l$.
(a(ii))[5]
Show that the perpendicular distance from $A$ to $l$ is $\frac{1}{\sqrt{2}}$.
Mathematics 9709 · AS & A Level · Vectors
Vectors — practice question
The position vectors of points $A$ and $B$, measured from the origin $O$, are $\vec{OA} = \mathbf{i} + \mathbf{j} + \mathbf{k}$ and $\vec{OB} = 2\mathbf{i} + 3\mathbf{k}$. The line $l$ is given by $\mathbf{r} = 2\mathbf{i} - 2\mathbf{j} - \mathbf{k} + \mu(-\mathbf{i} + 2\mathbf{j} + \mathbf{k})$.