Which of the following vector fields is NOT conservative in R3\mathbb{R}^3R3?
F=⟨−y,x,0⟩\mathbf{F} = \langle -y, x, 0 \rangleF=⟨−y,x,0⟩
F=⟨y,x,z2⟩\mathbf{F} = \langle y, x, z^2 \rangleF=⟨y,x,z2⟩
F=⟨sin(y),xcos(y),1⟩\mathbf{F} = \langle \sin(y), x\cos(y), 1 \rangleF=⟨sin(y),xcos(y),1⟩
F=⟨2x,2y,2z⟩\mathbf{F} = \langle 2x, 2y, 2z \rangleF=⟨2x,2y,2z⟩