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## Homework Statement

Prove that if u and v are given non-zero vectors in the arbitrary inner-product space V, and are such that <u,v>=0, then {u,v} is a linearly independent subset of V.

## Homework Equations

## The Attempt at a Solution

I have no idea where to start. It's hard to prove because the inner-product could be defined in various ways. I can't just pick one and go with it, since another equally valid definition may not work.

I am still working on this and I will post my attempt as soon as I have one, but until then I was hoping to get some ideas for a starting point.

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