For 10 points, what is this operator that gives a measure of the rotation of a three-dimensional vector field and is represented as a cross product with differential operator del?
Mathematically, it is a two-form defined as the exterior derivative of the one-form  corresponding to the inner product with a vector field. The rate of change of a time-varying magnetic field is equal to the negative of this operator applied to the electric field. When you apply it to the flow velocity of a moving fluid, you get the vorticity. For 10 points, what is this operator that gives a measure of the rotation of a three-dimensional vector field and is represented as a cross product with differential operator del?
Mathematically, it is a two-form defined as the exterior derivative of the one-form  corresponding to the inner product with a vector field.
curl