(a)[5]
Show that $l$ does not meet the line through $A$ and $B$.
(b)[4]
Determine the position vector of the foot of the perpendicular from $A$ to $l$.
Mathematics 9709 · AS & A Level · Vectors
Vectors — practice question
The position vectors of points $A$ and $B$ are $\mathbf{i} + 2\mathbf{j} - 2\mathbf{k}$ and $2\mathbf{i} - \mathbf{j} + \mathbf{k}$ respectively. The equation of the line $l$ is $\mathbf{r} = \mathbf{i} - \mathbf{j} + 3\mathbf{k} + \mu(2\mathbf{i} - 3\mathbf{j} + 4\mathbf{k})$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use a correct method to obtain a vector equation for $AB$.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI