1. The problem statement, all variables and given/known data Show that the following set of vectors are subspaces of R^m The set of all vectors (x,y,z) such that x+y+z=0 of R^3 . Then find a set that spans this subspace. 2. Relevant equations 3. The attempt at a solution I managed to proof that the set of vectors is a subspace by showing that it is non-empty, closed under addition and scalar multiplication. However, I have no idea how to start on part b, how do I find a spanning set for that subspace? If I am not mistaken, I have to find linear combinations.