Definition:Orthogonal (Bilinear Form)

Definition
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 $b$) $b \left({v, w}\right) = b \left({w, v}\right) = 0$

This is denoted: $v \perp w$.

Also see

 * Definition:Orthogonal Sum (Bilinear Space)