7 The points \(A , B\) and \(C\) have coordinates \(A ( 4,5,2 ) , B ( - 3,2 , - 4 )\) and \(C ( 2,6,1 )\)
7
- Use a vector product to show that the area of triangle \(A B C\) is \(\frac { 5 \sqrt { 11 } } { 2 }\)
[0pt]
[4 marks]
7 - The points \(A , B\) and \(C\) lie in a plane.
Find a vector equation of the plane in the form r.n \(= k\)
7 - Hence find the exact distance of the plane from the origin.