$$\overrightarrow{\nabla }\times \overrightarrow{F}=(\frac{\partial F_z}{\partial y}-\frac{\partial F_y}{\partial z})i+(\frac{\partial F_x}{\partial z}-\frac{\partial F_z}{\partial x})j+(\frac{\partial F_y}{\partial x}-\frac{\partial F_x}{\partial y})k$$