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Homework Help: Quick question: Is this plane a subspace of R^3?

  1. Mar 12, 2009 #1
    1. The problem statement, all variables and given/known data
    Say you have the plane given by equation

    4x + 3y + 4z + 4 = 0

    This plane is not a subspace of R^3, right? My reasoning is that this plane can't include the origin, but I just need some clarification to make sure that I understand what a subspace is.


    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Mar 12, 2009 #2


    Staff: Mentor

    Correct, this plane is not a subspace of R^3 for the reason you give.
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