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 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.

Also see

 * Definition:Perpendicular (Linear Algebra)
 * Non-Zero Vectors are Orthogonal iff Perpendicular