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

If w is orthogonal to u and v, then show that w is also orthogonal to span ( u , v )

2. Relevant equations

two orthogonal vectors have a dot product equalling zero

3. The attempt at a solution

I can see this geometrically in my mind, and I know that w . u = 0 and w . v = 0

but I don't know or understand how I can show this for its span in writing.

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# Homework Help: Orthogonal Matrices and span

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