Mathematics 317T2 Assignment6 - Mathematics 317T2 Assignment#6 due Wednesday March 3 2010 1 Suppose the force field F(x y z is conservative in the

Mathematics 317T2 Assignment6 - Mathematics 317T2...

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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. x ϕ is a ϕ 2. 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.
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