EXERCISES FOR WEEK 8
week8-1

Without writing a program (just use calculator),

using Newell's Algorithm, calculate "face normals" for each face of the barn as defined in class.

week8-2 For each vertex of both roof sections of the barn, calculate the normal vector for that vertex, using the fact that
    
       vertex normal = sum of face normals sharing that vertex.

Normalize these 6 vertex normals.
week8-3 Use Newell's method to find the normal vector for the polygon having vertices (1,1,2), (2,0,5), (5,1,4), and (6,0,7). Is the polygon planar?