Can R^2 be planes other than the xy plane if it is not defined?(adsbygoogle = window.adsbygoogle || []).push({});

Because I got this statement which the book claims it to be false.

Let W be the xy plane in R^3; that is, W={(a1, a2, 0):a1, a2 from R). R= field of real numbers. Then W=R^2.

is there any other reason to make this statement false?

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

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!

# Xy plane question.

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