In Vector Calculus there are excellent commands for finding the normal vector to a curve (PrincipalNormal and TNBFrame) but none for finding the surface normal vector. It is possible to display the surface normal vector using PlotPositionVector's normal option, but this is good for visualization only, and the vector can't be used for further calculations.

Am I missing something, or is this really missing form the package?

Two example problems to be solved: