Find curl F if F=x2yi−2xzj+2yzk.
Solution curlF=|ijk∂∂x∂∂y∂∂zx2y−2xz2yz|=[∂∂y(2yz)−∂∂z(−2xz)]i−[∂∂x(2yz)−∂∂z(x2y)]j+[∂∂x(−2xz)−∂∂y(x2y)]k=(2z+2x)i−(0−0)j+(−2z−x2)k=(2z+2x)i+(−2z−x2)k