If F=∇ϕ\mathbf{F} = \nabla \phiF=∇ϕ, which of the following is true?
curl F=0\text{curl } \mathbf{F} = 0curl F=0
div F=0\text{div } \mathbf{F} = 0div F=0
F\mathbf{F}F is not conservative
F=⟨0,0,0⟩\mathbf{F} = \langle 0, 0, 0 \rangleF=⟨0,0,0⟩