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Hello,

Please pardon me if my terms are off, i'm studying in hebrew and might lacka few of the english words.

Anyway this isnt homewokr but just curiosity.

We learnt in class that if V is a vector space and U is a subspace of V then [tex] U\oplus U^{\bot}=V [/tex]

But then it seems to me that this implies that every vector that is in V but not in U is orthogonal to every vector in U. i.e.

This just strikes me as odd and counterintuitive. Is it correct or am I issing something.

Thanks

Tal

3. The attempt at a solution

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# Homework Help: Orthoganlity question

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