| Exam Board | OCR |
| Module | FP3 (Further Pure Mathematics 3) |
| Year | 2007 |
| Session | January |
| Topic | Vectors: Lines & Planes |
2 Find the equation of the line of intersection of the planes with equations
$$\mathbf { r } . ( 3 \mathbf { i } + \mathbf { j } - 2 \mathbf { k } ) = 4 \quad \text { and } \quad \mathbf { r } . ( \mathbf { i } + 5 \mathbf { j } + 4 \mathbf { k } ) = 6 ,$$
giving your answer in the form \(\mathbf { r } = \mathbf { a } + t \mathbf { b }\).