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 $V$.

$v,w\in V$ are orthogonal (with respect to $b$) $b(v,w) = b(w,v) = 0$

This is denoted: $v\perp w$.