Test

\vec{\nabla} \times \vec{F} = (\frac{\partial F_{z}}{\partial y} - \frac{\partial F_{y}}{\partial z}) i + (\frac{\partial F_{x}}{\partial z} - \frac{\partial F_{z}}{\partial x}) j + (\frac{\partial F_{y}}{\partial x} - \frac{\partial F_{x}}{\partial y}) k