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Suppose is orthogonal to vectors and . Show that is orthogonal to every in the span...

Suppose is orthogonal to vectors and . Show that is orthogonal to every in the span {u,v}.

[Hint: An Arbitrary w in Span {u,v} has the form w=c1u+c2v. Show that y is orthogonal to such a vector w.]

What theorem can I use for this?

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