SOLUTION: Consider only vectors in R^3
Please help with this PROOF
if u dot v = u dot w for all u, then v = w
not using a counterexample... thanks for your help
Algebra.Com
Question 436451: Consider only vectors in R^3
Please help with this PROOF
if u dot v = u dot w for all u, then v = w
not using a counterexample... thanks for your help
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
for all u
==> , for all u.
From a previous problem you posted I showed that, if u*z = 0 for all u, then z is equal to the zero vector. Then, from this should follow that v - w = 0, or v = w.
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