Mathematics 9709 · AS & A Level · Vectors

Vectors — practice question

The equations of two planes are $x + 3y - 2z = 4$ and $2x + y + 3z = 5$. Their intersection is the straight line $l$.
(i)[4]

Calculate the acute angle formed by the two planes.

(ii)[6]

Find a vector equation of the line $l$.

Worked solution & mark scheme

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

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