Machine-translated by Google. Questions are authored in English.
Top

Discussion

True or false: the curl of a vector field is itself a vector field.

  • A.False, the curl being defined only for two-dimensional fields
  • B.True, but only in Cartesian coordinates, the curl being scalar elsewhere
  • C.True, the operation returning three components at every point
  • D.False, the curl being a scalar measure of the circulation at a point

Answer: C

It has a direction, given by the normal to the plane of greatest circulation, and a magnitude, the circulation per unit area. Divergence is the operation that returns a scalar, which is the distinction worth keeping firmly in mind.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.