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