# Definition:Orthogonal (Linear Algebra)/Real Vector Space

## Definition

Let $\mathbf u$, $\mathbf v$ be vectors in $\R^n$.

Then $\mathbf u$ and $\mathbf v$ are said to be orthogonal if and only if 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.