(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

LetUbe a subspace of ℝ^{n}. Show that ifu[itex]\in[/itex]U[itex]\bigcap[/itex]U^{[itex]\bot[/itex]}, thenu=0.

2. Relevant equations

3. The attempt at a solution

I know that U^{[itex]\bot[/itex]}will be orthogonal to U, so any vectoruin U dotted with any vector in U^{[itex]\bot[/itex]}will equal 0. But that does not necessarily mean thatu=0so I must prove something else. I don't know where to include the intersect into all of this, we have never used that kind of thing before.

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# Homework Help: Intersect of U and U perpendicular; Orthogonality

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