Given the vector field F(x,y,z) = 2zi + (x+y)j - yzk. S (oriented upward) is the part of the plane x + y + z = 1 above the triangular region with vertices (0,0,0), (1,0,0) and (0,1,0) and C is the boundary of S with positive (counterclockwise) orientation.
A) Evaluate curlFAdS
B) Evaluate FAdr
C) What Theorem tells us that the results of A) and B) are equal?