Cauchy-Schwarz Inequality

Definition

For any vectors $\mathbf{u}$ and $\mathbf{v}$ of an Inner Product Space, $|⟨\mathbf{u},\mathbf{v}⟩{|}^2\le ⟨\mathbf{u},\mathbf{u}⟩\cdot ⟨\mathbf{v},\mathbf{v}⟩$