Symmetric bilinear form/Orthogonal/Definition

Let ${\displaystyle {}K}$ be a field, ${\displaystyle {}V}$ a ${\displaystyle {}K}$-vector space, and let ${\displaystyle {}\left\langle -,-\right\rangle }$ denote a symmetric bilinear form on ${\displaystyle {}V}$. Two vectors ${\displaystyle {}v,w\in V}$ are called orthogonal, if

${\displaystyle {}\left\langle v,w\right\rangle =0\,}$

holds.