Assignment:
The diagram shows a rectangular solid, two of whose vertices are A=(0,0,0) and G=(4,6,3).
a) Find angle FCH
b) Find vector projections of AG→ onto the following vectors: AB→, [0,1,0], [-1,0,0] and [0,0,1].
c) Find the point on AC that is closest to the midpoint of GH.
Provide complete and step by step solution for the question and show calculations and use formulas.