X Let W be the union of the second and fourth quadrants in the xy-plane. That is, let W = : xy =0. Complete parts a and b below. a. If u is in W and c is any scalar, is cu in W? Why? O A. X X CX If u = is in W, then the vector cu = c is not in W because cxy 2 0 in some cases. y y cy B. X X CX If u = is in W, then the vector cu = c is in W because (cx)(cy) = c (xy) =0 since xy = 0. y y cy O c. X X CX If u = is in W, then the vector cu = c is in W because cxy = 0 since xy = 0. cy b. Find specific vectors u and v in W such that u + v is not in W. This is enough to show that W is not a vector space. Two vectors in W, u and v, for which u + v is not in W are (Use a comma to separate answers as needed.)