(i)[6]
Show that the two lines $l_1$ and $l_2$ are skew.
(ii)[3]
Find the acute angle between the direction of line $l_2$ and the $x$-axis.
Mathematics 9709 · AS & A Level · Vectors
Vectors — practice question
The straight line $l_1$ goes through the points $(0, 1, 5)$ and $(2, -2, 1)$. The straight line $l_2$ is given by $\mathbf{r} = 7\mathbf{i} + \mathbf{j} + k + \mu(\mathbf{i} + 2\mathbf{j} + 5\mathbf{k})$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Obtain $\begin{pmatrix}2\\-3\\-4\end{pmatrix}$ for the direction vector of $l_1$” …
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