1. The problem statement, all variables and given/known data A fluid as velocity field F(x, y, z) = (xy, yz, xz). Let C denote the unit circle in the xy-plane. Compute the circulation, and interpret your answer. 2. Relevant equations 3. The attempt at a solution Since the unit circle is a closed loop, I assumed that ∫ F * dr = 0 (the ∫ symbol is supposed to have a circle) However, when I attempt to verify whether or not F = [itex]\nabla[/itex] f, the two are not equal, suggesting that ∫ F * dr does not= 0 At this point I'm at a loss of how to go about calculating the circulation. Could someone please help?