Identify the unit normal to the surface x+y+z=1x+y+z=1x+y+z=1 at (1,0,0)(1,0,0)(1,0,0).
⟨0,1,0⟩\langle 0, 1, 0 \rangle⟨0,1,0⟩
⟨1,0,0⟩\langle 1, 0, 0 \rangle⟨1,0,0⟩
⟨13,13,13⟩\langle \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}} \rangle⟨31,31,31⟩
⟨1,1,1⟩\langle 1, 1, 1 \rangle⟨1,1,1⟩