OCR MEI
Further Pure Core AS
Specimen
— Question 4
Exam Board
OCR MEI
Module
Further Pure Core AS (Further Pure Core AS)
Session
Specimen
Topic
3x3 Matrices
4
Find the coordinates of the point where the following three planes intersect. Give your answers in terms of \(a\).
$$\begin{aligned}
x - 2 y - z & = 6
3 x + y + 5 z & = - 4
- 4 x + 2 y - 3 z & = a
\end{aligned}$$
Determine whether the intersection of the three planes could be on the \(z\)-axis.