# Orthogonal vectors

From Maths

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## Contents

## Definition

Let [ilmath]((X,[/ilmath][ilmath]\mathbb{K} [/ilmath][ilmath]),\langle\cdot,\cdot\rangle)[/ilmath] be an inner-product space and let [ilmath]x,y\in X[/ilmath] be given, then we say [ilmath]x[/ilmath] is *orthogonal to* [ilmath]y[/ilmath] (or [ilmath]y[/ilmath] is orthogonal to [ilmath]x[/ilmath]) if:

- [ilmath]\langle x,y\rangle\eq 0[/ilmath]

## See also

## References

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