Vectors

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Relative to a fixed origin $O$ :

the point $A$ has position vector $1i+2j−k1\mathbf{i} + 2\mathbf{j} - \mathbf{k}$
the point $B$ has position vector $3i−2j+7k3\mathbf{i} - 2\mathbf{j} + 7\mathbf{k}$

The line $l$ passes through $A$ and $B$ .

(i) Find $AB→\overrightarrow{AB}$ . (ii) Find a vector equation for the line $l$ .

[3]

The point $C$ has position vector $9i+0j+1k9\mathbf{i} + 0\mathbf{j} + 1\mathbf{k}$ . The point $P$ lies on $l$ . Given that $CP→\overrightarrow{CP}$ is perpendicular to $l$ :

Find the position vector of the point $P$ .

[5]

Vectors Questions

Practise Edexcel A Level Maths Vectors with exam-style questions for A Level Maths. 100 questions covering 12.1 3D Coordinates, 12.2 Vectors in 3D, 12.3 Solving Geometric Problems, and 12.4 Application to Mechanics, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.