2 A triangle has vertices at \(A ( 1,1,3 ) , B ( 5,9 , - 5 )\) and \(C ( 6,5 , - 4 ) . P\) is the point on \(A B\) such that \(A P : P B = 3 : 1\).
- Show that \(\overrightarrow { C P }\) is perpendicular to \(\overrightarrow { A B }\).
- Find the area of the triangle \(A B C\).