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Xy plane question.

  1. Sep 5, 2005 #1
    Can R^2 be planes other than the xy plane if it is not defined?
    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?
  2. jcsd
  3. Sep 5, 2005 #2
    R2 is just a two dimensional plane, you can put it anywhere you want.
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