Is the plane 4x + 3y + 4z + 4 = 0 a subspace of R^3?

[bcjochim07]

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

 

[Mark44]

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