Ray Lee on Nostr: Whenever my intuition fails I go look for counter-examples. Let v=(1,1), w=(1,i). ...

Whenever my intuition fails I go look for counter-examples. Let v=(1,1), w=(1,i). Norm outside the inner product gives root 2, inside 2.

I believe this is the Cauchy-Schwarz inequality, if I remember correctly. Complex analysis was a long time ago.

An earlier version of this post (incorrect, deleted), gives extra evidence that I should not attempt mental arithmetic without coffee.