Definition:Orthogonal (Bilinear Form)/Subsets

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 $S, T \subset V$ be subsets.

Then $S$ and $T$ are orthogonal for all $s\in S$ and $t\in T$, $s$ and $t$ are orthogonal: $s \perp t$.