Answer to Question #251583 in Math for Wanpis Bill

Question

Use the tetrahedron that has corner coordinates A=(1,-1,0), B=(6,1,3), C= (–3,2,0) and D=(0,6,5) and check that its centroid will be at (1,2,2).

a)A tetrahedron has 4 corners, 4 faces, 6 edges, and 12 corner angles. How many of our tetrahedron’s 12 corner angles are right angles, and which one(s)?

(b) Determine the projection of the tetrahedron onto the viewing screen when the eye is at (–6,2,2). Colour the side or sides that the viewer can see from this position.