(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hey, I ahve a curioisity (not homework )question.

We learnt that there are an infinite number of inner products that can be defined ona vector space and that inner product space is what gives us the notion of distance within a given space.

So if we defined some non standard inner product on R^n what would that mean in terms of geoemtry?

For example, say I looked at R^2 with the standard inner product and defined a square with vectors. Then I "took a new space" in R^2 but with some other inner product and plotted the same vectors, what would they still be a square?

Thanks

Tal

2. Relevant equations

3. The attempt at a solution

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Inerr product space question

**Physics Forums | Science Articles, Homework Help, Discussion**