OCR MEI Further Pure Core 2021 November — Question 15

Exam BoardOCR MEI
ModuleFurther Pure Core (Further Pure Core)
Year2021
SessionNovember
TopicVectors: 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 \(l\).