Find the curl of F=⟨0,0,x2⟩\mathbf{F} = \langle 0, 0, x^2 \rangleF=⟨0,0,x2⟩.
⟨0,2x,0⟩\langle 0, 2x, 0 \rangle⟨0,2x,0⟩
⟨0,−2x,0⟩\langle 0, -2x, 0 \rangle⟨0,−2x,0⟩
⟨0,0,2x⟩\langle 0, 0, 2x \rangle⟨0,0,2x⟩
⟨0,0,0⟩\langle 0, 0, 0 \rangle⟨0,0,0⟩