Determine the curl of the vector field F(x,y,z)=⟨yz,xz,xy⟩\mathbf{F}(x, y, z) = \langle yz, xz, xy \rangleF(x,y,z)=⟨yz,xz,xy⟩.
⟨0,0,0⟩\langle 0, 0, 0 \rangle⟨0,0,0⟩
⟨x,y,z⟩\langle x, y, z \rangle⟨x,y,z⟩
⟨1,1,1⟩\langle 1, 1, 1 \rangle⟨1,1,1⟩
⟨z,y,x⟩\langle z, y, x \rangle⟨z,y,x⟩