9. Two planes, \(\Pi _ { 1 }\) and \(\Pi _ { 2 }\), are defined by
$$\begin{aligned}
& \Pi _ { 1 } : 4 x - 3 y + 2 z = 5
& \Pi _ { 2 } : 6 x + y + z = 9
\end{aligned}$$
- Find the acute angle between the planes \(\Pi _ { 1 }\) and \(\Pi _ { 2 }\). Give your answer correct to three significant figures.
- Find the perpendicular distance from the point \(A ( 5 , - 2 , - 6 )\) to the plane \(\Pi _ { 1 }\).
- Show that the point \(B ( 5,5,0 )\) lies on \(\Pi _ { 1 }\) and that the point \(C ( 1,3,0 )\) lies on \(\Pi _ { 2 }\).
- State an equation of a plane that contains the points \(B\) and \(C\).
Additional page, if required.
Write the question number(s) in the left-hand margin.
Additional page, if required.
Write the question number(s) in the left-hand margin.
\section*{PLEASE DO NOT WRITE ON THIS PAGE}