| Exam Board | WJEC |
| Module | Further Unit 1 (Further Unit 1) |
| Year | 2022 |
| Session | June |
| Topic | Vectors: Lines & Planes |
3. The vector equation of the line \(L\) is given by
$$\mathbf { r } = - \mathbf { i } + 2 \mathbf { j } - 6 \mathbf { k } + \lambda ( 4 \mathbf { i } - 2 \mathbf { j } + 7 \mathbf { k } ) .$$
The Cartesian equation of the plane \(\Pi\) is given by
$$3 x + 8 y - 9 z = 0$$
Find the Cartesian coordinates of the point of intersection of \(L\) and \(\Pi\).