 
 
 
13.7.5  Rotational
The curl of a 3D vector field
F=[F1,F2,F3] with variables [x1,x2,x3]
is
| curl F= | ⎡ ⎢
 ⎢
 ⎣
 |  | − |  | , |  | − |  | , |  | − |  |  | ⎤ ⎥
 ⎥
 ⎦
 | . | 
The curl command computes the
curl of a three dimensional vector field (note that it must be three dimensional).
- 
curl takes two arguments:
- 
F, a 3D vector field, given as a list of
three expressions depending on three variables.
- vars, a list of the three variable names.
 
- curl(F,vars) returns the curl of
the vector field.
Example
| curl([x*z,-y^2,2*x^y],[x,y,z]) | 
|  | | |  | ⎡ ⎣
 | 2 lnx· xy,x−2 y xy−1,0 | ⎤ ⎦
 | 
 |  |  |  |  |  |  |  |  |  |  | 
 | 
 
 
