- #1
autodidude
- 333
- 0
For a 2D vector field [tex]{F}=P(x,y)\vec{i}+Q(x,y)\vec{j}[/tex]
[tex]curl {F} = \frac{\partial Q}{\partial x}+\frac{\partial P}{\partial y}\vec{k}[/tex]
So that's the rate of change of the j component of a field vector with respect to x plus the rate of change of the i component with respect to y...how does this measure the rotation about a point (x,y)?
[tex]curl {F} = \frac{\partial Q}{\partial x}+\frac{\partial P}{\partial y}\vec{k}[/tex]
So that's the rate of change of the j component of a field vector with respect to x plus the rate of change of the i component with respect to y...how does this measure the rotation about a point (x,y)?