We didn't seem to talk about Linearity. Since the Inner Product space by its definition is a vector space, which holds the definition of distributivity of scalar multiplication with respect to vector and field addition. Geometrically, it works as seen before (in slide 10)

We didn't seem to talk about Linearity. Since the Inner Product space by its definition is a vector space, which holds the definition of distributivity of scalar multiplication with respect to vector and field addition. Geometrically, it works as seen before (in slide 10)