To show that W is a vector space with these operations, we would need to show that adding two elements from W results in an element in W, scaling an element in W by any real number s results in an element in W, and all eight of the properties hold. Unfortunately, W is not a vector space with these operations. That means that at least one of the ten things that we need to check to see if W is a vector space must fail. In fact, exactly two of these ten things fail. Determine which two fail and illustrate with specific numerical examples why they fail.