Consider 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⟩. Calculate the curl ∇×F\nabla \times \mathbf{F}∇×F.
⟨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⟩
⟨xy,yz,zx⟩\langle xy, yz, zx \rangle⟨xy,yz,zx⟩