Which of the following is the curl of the vector field F=⟨exsiny,excosy,z⟩\mathbf{F} = \langle e^x \sin y, e^x \cos y, z \rangleF=⟨exsiny,excosy,z⟩?
⟨0,0,0⟩\langle 0, 0, 0 \rangle⟨0,0,0⟩
⟨1,1,1⟩\langle 1, 1, 1 \rangle⟨1,1,1⟩
⟨0,0,excosy−excosy⟩\langle 0, 0, e^x \cos y - e^x \cos y \rangle⟨0,0,excosy−excosy⟩