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

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Homework Statement


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.

Thanks.


Homework Equations





The Attempt at a Solution

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

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