(a)[5]
Show these lines are skew.
(b)[3]
Find the acute angle formed by the directions of the two lines.
Mathematics 9709 · AS & A Level · Vectors
Vectors — practice question
The two lines are represented by the equations $\mathbf{r} = \begin{pmatrix} 1 \\ 3 \\ 2 \end{pmatrix} + s\begin{pmatrix} 2 \\ -1 \\ 3 \end{pmatrix}$ and $\mathbf{r} = \begin{pmatrix} 2 \\ 1 \\ 4 \end{pmatrix} + t\begin{pmatrix} 1 \\ -1 \\ 4 \end{pmatrix}$.