Which of the following is NOT a property of the dot product?
u⋅v=v⋅u\mathbf{u} \cdot \mathbf{v} = \mathbf{v} \cdot \mathbf{u}u⋅v=v⋅u (commutative)
u⋅(v+w)=u⋅v+u⋅w\mathbf{u} \cdot (\mathbf{v} + \mathbf{w}) = \mathbf{u}\cdot\mathbf{v} + \mathbf{u}\cdot\mathbf{w}u⋅(v+w)=u⋅v+u⋅w (distributive)
u⋅v\mathbf{u} \cdot \mathbf{v}u⋅v is always a vector
(cu)⋅v=c(u⋅v)(c\mathbf{u}) \cdot \mathbf{v} = c(\mathbf{u} \cdot \mathbf{v})(cu)⋅v=c(u⋅v)