1. The problem statement, all variables and given/known data Let V be the set of ordered pairs (x, y) of real numbers with the operations of vector addition and scalar multiplication given by: (x, y) + (x', y') = (y + y', x + x') c(x, y) = (cx, cy) V is not a vector space. List one of the properties from the definition of vector space that fails to hold for V. Justify your answer. 2. Relevant equations N/A 3. The attempt at a solution I really do not have any idea on how to get started on this question. I've tried all 8 properties of a vector space and, at least to me, it holds for all 8 properties and should thus be a vector space, but the question explicitly says it is not. I have the answer to the question, but would like to try a different approach to proving it is not a vector space. Any help?