Which vector field is solenoidal (has zero divergence)?
F(x,y,z)=⟨xyz,xyz,xyz⟩\mathbf{F}(x,y,z) = \langle xyz, xyz, xyz \rangleF(x,y,z)=⟨xyz,xyz,xyz⟩
F(x,y,z)=⟨−y,x,0⟩\mathbf{F}(x,y,z) = \langle -y, x, 0 \rangleF(x,y,z)=⟨−y,x,0⟩
F(x,y,z)=⟨x,y,z⟩\mathbf{F}(x,y,z) = \langle x, y, z \rangleF(x,y,z)=⟨x,y,z⟩
F(x,y,z)=⟨x2,y2,z2⟩\mathbf{F}(x,y,z) = \langle x^2, y^2, z^2 \rangleF(x,y,z)=⟨x2,y2,z2⟩