\displaystyle \text{curl } \mathbf{F} = \nabla \times \mathbf{F}= \begin{vmatrix}\mathbf{i} & \mathbf{j} & \mathbf{k} \\\partial/\partial x & \partial/\partial y & \partial/\partial z \\xz & y^2 & xy\end{vmatrix}

1. i 성분: \displaystyle \frac{\partial}{\partial y}(xy) - \frac{\partial}{\partial z}(y^2) = x - 0 = x

2. j 성분: \displaystyle -\left( \frac{\partial}{\partial x}(xy) - \frac{\partial}{\partial z}(xz) \right)= -(y - x) = x - y

3. k 성분: \displaystyle \frac{\partial}{\partial x}(y^2) - \frac{\partial}{\partial y}(xz) = 0 - 0 = 0