Which vector is orthogonal to both ⟨1,0,0⟩\langle 1, 0, 0 \rangle⟨1,0,0⟩ and ⟨0,1,0⟩\langle 0, 1, 0 \rangle⟨0,1,0⟩?
⟨0,0,1⟩\langle 0, 0, 1 \rangle⟨0,0,1⟩
⟨1,1,0⟩\langle 1, 1, 0 \rangle⟨1,1,0⟩
⟨1,0,1⟩\langle 1, 0, 1 \rangle⟨1,0,1⟩
⟨0,0,0⟩\langle 0, 0, 0 \rangle⟨0,0,0⟩