Use the divergence theorem to show that \oint\oints (nXF)dS = \int\int\intR (\nablaXF)dV.
The divergence theorem states: \oint\oints (n.F)dS = \int\int\intR (\nabla.F)dV.
The difference is switching from dot product to cross product. I have no idea how to start. Can someone please point...
Verify the divergence theorem when F=xi+yj+zk and sigma is the closed surface bounded by the cylindrical surface x^2+y^2=1 and the planes z=0, z=1.
I've done the triple integral side of the equation and got 3pi but don't know how to solve the flux side of the equation \oint\ointF.ds.
Any...