Mathematics 9709 · AS & A Level · Vectors

Vectors — practice question

The two planes are given by the equations $2x + 3y - z = 1$ and $x - 2y + z = 3$.
(i)[4]

Determine the acute angle between the planes.

(ii)[6]

Find a vector equation for the line of intersection of the planes.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Give, or clearly indicate, a suitable normal vector to either plane, for example $2\mathbf{i}+3\mathbf{j}-\mathbf{k}$ or $\mathbf{i}-2\mathbf{j}+\mathbf{k}$

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