(a)[3]
Find a vector equation for the line joining $A$ and $B$.
(b)[3]
Find the acute angle between the directions of $AB$ and $l$, and give your answer in degrees.
(c)[4]
Show that the line through $A$ and $B$ does not meet the line $l$.
Mathematics 9709 · AS & A Level · Vectors
Vectors — practice question
The position vectors of $A$ and $B$ are $2\mathbf{i} + \mathbf{j} + \mathbf{k}$ and $\mathbf{i} - 2\mathbf{j} + 2\mathbf{k}$ respectively. The line $l$ is given by the vector equation $\mathbf{r} = \mathbf{i} + 2\mathbf{j} - 3\mathbf{k} + \mu(\mathbf{i} - 3\mathbf{j} - 2\mathbf{k})$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Determine direction vector $-\mathbf{i}-3\mathbf{j}+\mathbf{k}$.” …
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