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