A2 June 2021 Paper 2 Q3

3 The line \(L\) has equation \(\mathbf{r} = \begin{bmatrix} 3 \\ 2 \\ 0 \end{bmatrix} + \lambda\begin{bmatrix} -1 \\ -2 \\ 5 \end{bmatrix}\)

Which of the following lines is perpendicular to the line \(L\)?

Tick (✓) one box. [1 mark]

• \[\mathbf{r} = \begin{bmatrix} 2 \\ -3 \\ 4 \end{bmatrix} + \mu\begin{bmatrix} 1 \\ 2 \\ -5 \end{bmatrix}\]
• \[\mathbf{r} = \begin{bmatrix} 1 \\ 0 \\ 1 \end{bmatrix} + \mu\begin{bmatrix} 2 \\ -3 \\ 1 \end{bmatrix}\]
• \[\mathbf{r} = \begin{bmatrix} 1 \\ 2 \\ 1 \end{bmatrix} + \mu\begin{bmatrix} 1 \\ 1 \\ 2 \end{bmatrix}\]
• \[\mathbf{r} = \begin{bmatrix} 0 \\ 3 \\ 2 \end{bmatrix} + \mu\begin{bmatrix} 4 \\ 3 \\ 2 \end{bmatrix}\]