Evaluate ∬SF⃗⋅dS⃗\iint_S \vec{F} \cdot d\vec{S}∬SF⋅dS for F⃗=⟨x,y,z⟩\vec{F} = \langle x, y, z \rangleF=⟨x,y,z⟩ and SSS is the surface of the cube [0,1]3[0, 1]^3[0,1]3.
333
111
666
000