okay so i'm having some conceptual difficulty(adsbygoogle = window.adsbygoogle || []).push({});

given some vector space V (assume finite dimension if needed)

which has some orthonormal basis

i'm given a vector x in V (assume magnitude 1 so it is normalized)

now my question is:

can x belong to some orthonormal basis of v? basically can any normalized vector in V belong to some orthonormal basis that spans V.

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# Can any vector be in orthonormal basis?

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