(a)[5]
Show that $l$ does not meet the line through $A$ and $B$.
(b)[6]
Find the equation of the plane that contains the line $l$ and the point $A$. Write your answer in the form $ax + by + cz = d$.
Mathematics 9709 · AS & A Level · Vectors
Vectors — practice question
The points $A$ and $B$ are given by the position vectors $\overrightarrow{OA} = 2\mathbf{i} - \mathbf{j} + 3\mathbf{k}$ and $\overrightarrow{OB} = \mathbf{i} + \mathbf{j} + 5\mathbf{k}$. The line $l$ is described by $\mathbf{r} = \mathbf{i} + \mathbf{j} + 2\mathbf{k} + \mu(3\mathbf{i} + \mathbf{j} - \mathbf{k})$.
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