Determine the unit normal vector to the surface x+y+z=1x + y + z = 1x+y+z=1 at (1,0,0)(1, 0, 0)(1,0,0).
⟨1,1,1⟩\langle 1, 1, 1 \rangle⟨1,1,1⟩
⟨1/3,1/3,1/3⟩\langle 1/\sqrt{3}, 1/\sqrt{3}, 1/\sqrt{3} \rangle⟨1/3,1/3,1/3⟩
⟨1,0,0⟩\langle 1, 0, 0 \rangle⟨1,0,0⟩
⟨0,1,0⟩\langle 0, 1, 0 \rangle⟨0,1,0⟩