Vector Analysis Package Symbol

Curl

Curl[f]
gives the curl,

×f, of the vector field f in the default coordinate system.

Curl[f, coordsys]
gives the curl of f in the coordinate system coordsys.

To use Curl, you first need to load the Vector Analysis Package using Needs["VectorAnalysis`"].

The vector field f should be a 3-element list where each element is a function of the coordinates of the appropriate coordinate system.

Compute the curl of a vector field:

Find the parameter values for which the vector field is irrotational:

Needs["VectorAnalysis`"]

Compute the curl of a vector field:

Find the parameter values for which the vector field is irrotational: