| Exam Board | OCR MEI |
| Module | Further Pure Core (Further Pure Core) |
| Year | 2021 |
| Session | November |
| Topic | Vectors: Lines & Planes |
15 The equations of three planes are
$$\begin{aligned}
- 4 x + k y + 7 z & = 4
x - 2 y + 5 z & = 1
2 x + 3 y + z & = 2
\end{aligned}$$
Given that the planes form a sheaf, determine the values of \(k\) and \(l\).