Vector space/K/Inner product/Orthogonal/Definition

Orthogonal

Let ${}V$ denote a vector space over ${}{\mathbb {K} }$, endowed with an inner product ${}\left\langle -,-\right\rangle$. We say that two vectors ${}v,w\in V$ are orthogonal (or perpendicular) to each other if

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

holds.