ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F13266 on D37: Orthogonal vector pair
F13266
Formulation 1
Let $I$ be an D1128: Inner product space such that
(i) $\langle \cdot, \cdot \rangle$ is the D34: Inner product on $I$
(ii) $x, y \in I$ are each a D1129: Vector in $I$
Then $(x, y)$ is an orthogonal vector pair in $I$ if and only if \begin{equation} \langle x, y \rangle = 0 \end{equation}