1. The problem statement, all variables and given/known data F has a vector potential A = <x,y,x^2+y^2>. Find the flux of F through the upper hemisphere x^2+y^2+z^2=1 z≥0 oriented with upward pointing normal vector 3. The attempt at a solution So if F has a vector potential A, would you take the gradient of A to get F? in which case F would be <1,1,0>. Then to find the flux would I use stokes theorem? In which case I would have ∫∫∫(∇ F)dV then what would dV equal..? Looking for the volume you would use (p^2)sin∅dpd∅dθ.. for surface area would you just drop the dp?