Definition:Orthogonal (Linear Algebra)/Euclidean Space

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Definition

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.


Also see