# Curl of a vector

1. Jun 13, 2012

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
Suppose we begin with F which is a force..

Does taking the curl of a force such as

$$\nabla \times F$$

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?

2. Jun 13, 2012

### Matterwave

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. Jun 13, 2012

Thank you.