2. [Maximum mark: 6]
The following diagram shows a square-based right-pyramid with vertex V(1, 7, 0). Point X(-3, 4, 2) is the centre of the base ABCD. (Diagram not to scale, showing a pyramid with apex V and base ABCD centered at X).

(a) Find VX. [2]
The square base has side length 5 cm.
(b) Find AC. [2]
(c) Find the size of the angle between the edge [VC] and the base of the pyramid. [2]