Mathematics 317T2 Assignment #6 due Wednesday, March 3, 2010 1. Suppose the force field F(x, y, z) is conservative in the domain D. If ),,(zypotential for F, show that the lines of force for F are perpendicular to the equipotential surfaces const.xϕis a ϕ2. Determine whether each of the following vector fields is conservative in 3R, and find their potentials when conservative. (a) .222kjiFzyx++(b) .kjiFxyxy3. Show that kjiFyxy=is not a conservative vector field.