Curl of a vector

  • #1
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Homework Statement





Homework Equations





The Attempt at a Solution


Suppose we begin with F which is a force..

Does taking the curl of a force such as

[tex]\nabla \times F[/tex]

state that this expression no longer has dimensions of force? What I mean is, does the nabla operator have dimensions, and so would this change the dimensions of the expression?
 

Answers and Replies

  • #2
Matterwave
Science Advisor
Gold Member
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1) You can only take the curl of a vector field, not of a single vector.

2) The curl is basically a spatial derivative and so will bring down a 1/length unit. The curl of a force field is then in units of force/length.
 
  • #3
167
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Thank you.
 

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