Mathematics 9709 · AS & A Level · Vectors

Vectors — practice question

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

Show that these planes are perpendicular.

(ii)[6]

Find a vector equation for the line where the two planes intersect.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or imply a valid normal vector to either plane, for example $3\mathbf{i}+\mathbf{j}-\mathbf{k}$

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