1. The problem statement, all variables and given/known data Let W be the set of all ordereed pairs of real numbers, and consider the following addition and scalar multiplication operations on U=(u1,u2) and V=(v1,v2) U+V is standard addition but kU=(0, ku2) 2. Relevant equations Is W closed under scalar multiplication? 3. The attempt at a solution I understand that W is not a vector space but my book suggests that it is a subspace closed by scalar multiplication. Is it because kU=(k0, ku2) where k multiplies both terms?