# scalar curl

Since the curl of the vector field ${\displaystyle {\vec {F}}=(xy,xy,0)}$ is the vector field ${\displaystyle {\vec {\nabla }}\times {\vec {F}}=(0,0,y-x)}$, the scalar curl of the vector field ${\displaystyle {\vec {G}}=(xy,xy)}$ is the scalar field ${\displaystyle y-x\;}$.