\begin{definition}[Definition:Orthogonal (Bilinear Form)]
Let $\mathbb K$ be a field.
Let $V$ be a vector space over $\mathbb K$.
Let $b: V \times V \to \mathbb K$ be a reflexive bilinear form on $V$.
Let $v,w\in V$.
Then $v$ and $w$ are '''orthogonal (with respect to $b$)''' {{iff}} $b \left({v, w}\right) = b \left({w, v}\right) = 0$
This is denoted: $v \perp w$.
\end{definition}