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Math Formulas > Linear Algebra > Curl of a Vector Field

Curl of a Vector Field


The curl of a vector field A, denoted by curl A or ∇ x A, is a vector whose magnitude is the maximum net circulation of A per unit area as the area tends to zero and whose direction is the normal direction of the area when the area is oriented to make the net circulation maximum!.

In Cartesian



In Cylindrical



In Spherical



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