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posted by  LazyMan on 9/10/2009 6:28:43 PM  |  status: Closed  |  Earned Karma: 207

Linear Algebra vector proof

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Linear Algebra N/A N/A N/A 9/10/2009 at 11:00:00 PM
Question Details:
a) Prove that u is orthogonal to both v and w, then us is orthogonal to v + w.

b) Prove that if u is orthogonal to both v and w, then u  is orthogonal to sv + tw for all scalars s and t.

I am assuming some dot product thing but not sure what to do!
Let me know if I can help you out anymore!

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Oracle
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posted by Kingle on 9/10/2009 6:42:52 PM  |  status: Live
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Response Details:
If u is orthogonal to both v and w then   and  
therefore
so   and u is orthogonal to v + w.
also
therefore  and u  is orthogonal to sv + tw for all scalars s and t.
 
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