Let w=span(w1, w2, ......,wk) where wi are vectors in R^n. Let dot product be inner product for R^n here. Prove that if v*wi=0 for all i-1,2,....,k then v is an element of w^upside down T (w orthogonal).(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Linear Algebra Proof of Span and orthogonal vector space

**Physics Forums | Science Articles, Homework Help, Discussion**