3 Three planes have the following equations.
$$\begin{aligned}
2 x - 3 y + z & = - 3
x - 4 y + 2 z & = 1
- 3 x - 2 y + 3 z & = 14
\end{aligned}$$
- Write the system of equations in matrix form.
- Hence find the point of intersection of the planes.
- In this question you must show detailed reasoning.
Find the acute angle between the planes \(2 x - 3 y + z = - 3\) and \(x - 4 y + 2 z = 1\).