\begin{definition}[Definition:Orthogonal (Linear Algebra)]
Let $\struct {V, \innerprod \cdot \cdot}$ be an inner product space.
Let $u, v \in V$.
We say that $u$ and $v$ are '''orthogonal''' {{iff}}:
:$\innerprod u v = 0$
We denote this: 
:$u \perp v$
\end{definition}