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 | ⎤
⎦ |
| | | | | | | | | | |
|