We define the distance like $d(v,w)$ = {the number of different entries} and I'm supposed to prove that this is not induced by an inner product. So far what I´ve done is use the parallelogram law to prove a norm is not induced by an inner product, however I'm not sure I can do the same for the distance.
2026-04-12 11:35:35.1775993735
The distance in $\mathbb{R}^n$ is not induced by an inner product.
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