\begin{definition}[Definition:Orthogonal (Linear Algebra)/Real Vector Space]
Let $\mathbf u$, $\mathbf v$ be vectors in $\R^n$.
Then $\mathbf u$ and $\mathbf v$ are said to be '''orthogonal''' {{iff}} their dot product is zero:
:$\mathbf u \cdot \mathbf v = 0$
As Dot Product is Inner Product, this is a special case of the definition of orthogonal vectors.
\end{definition}