Orthogonal vectors

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Proper stub Alec (talk) 04:11, 8 April 2017 (UTC)

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

• Orthogonal complement

References

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Pretty sureBooks:Functi has it Alec (talk) 04:11, 8 April 2017 (UTC)