1. The problem statement, all variables and given/known data Let C be a simple closed plane curve in space. Let n = ai+bj+ck be a unit vector normal to the plane of C and let the direction on C match that of n. Prove that (1/2)∫[(bz-cy)dx+(cx-az)dy+(ay-bx)dz] equals the plane area enclosed by C. What does the integral reduce to when C is in the xy-plane? 2. Relevant equations Stoke's Theorem ∫F.ds=∫(∇×F).dS 3. The attempt at a solution I really have no idea where to start. Any help would be much appreciated.