Which of the following is NOT a property of an inner product ⟨u,v⟩\langle u, v \rangle⟨u,v⟩?
⟨u,v⟩=⟨v,u⟩\langle u, v \rangle = \langle v, u \rangle⟨u,v⟩=⟨v,u⟩
⟨u+v,w⟩=⟨u,w⟩+⟨v,w⟩\langle u+v, w \rangle = \langle u, w \rangle + \langle v, w \rangle⟨u+v,w⟩=⟨u,w⟩+⟨v,w⟩
⟨u,u⟩≥0\langle u, u \rangle \geq 0⟨u,u⟩≥0
⟨u,v⟩=0\langle u, v \rangle = 0⟨u,v⟩=0 for all v ⟹ u=0v \implies u = 0v⟹u=0