Hi,(adsbygoogle = window.adsbygoogle || []).push({});

Just curious: what is the equation of a plane in R^n for n>3 ?

We cannot define a normal vector for n>3 , so, what do we do? I thought

of working with flat, embedded copies of R^2 . In terms of linear algebra,

I guess we could see a plane in R^n as any image of a linear map with

rank=2. In terms of geometry, maybe we need a "flat" embedding of R^2

(I am not clear how to make the term 'flat' here more precise) in R^n.

Anyone know?

Thanks.

**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!

# Equation of a Plane in R^n , n>3

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