Mathematics 9709 · AS & A Level · Vectors

Vectors — practice question

The line $l$ passes through the points $(-5, 3, 6)$ and $(5, 8, 1)$. The plane $p$ is given by $2x - y + 4z = 9$.
(i)[4]

Find the coordinates of the point where $l$ and $p$ meet.

(ii)[4]

Find the acute angle formed between $l$ and $p$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Give a general vector expression for a point on the line, e.g. $-5i+3j+6k+s(10i+5j-5k)$ or an equivalent form.

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