Determine the curl of F=⟨0,0,x2+y2⟩\mathbf{F} = \langle 0, 0, x^2+y^2 \rangleF=⟨0,0,x2+y2⟩.
⟨2y,−2x,0⟩\langle 2y, -2x, 0 \rangle⟨2y,−2x,0⟩
⟨−2y,2x,0⟩\langle -2y, 2x, 0 \rangle⟨−2y,2x,0⟩
⟨2x,2y,0⟩\langle 2x, 2y, 0 \rangle⟨2x,2y,0⟩
⟨0,0,0⟩\langle 0, 0, 0 \rangle⟨0,0,0⟩