Let W be the union of the second and fourth quadrants in the xy-plane. That is, let W= Complete parts a and b below. a. If u is in W and c is any scalar, is cu in W? Why? OA. CX If u = is in W, then the vector cu = c is in W because cxy s0 since xy s0. су CX If u = is in W, then the vector cu = c is in W because (cx)(cy) = c2 (xy) s 0 since xy s0. су O c. If u = CX is in W, then the vector cu = c is not in W because cxy 2 0 in some cases. су 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.) B.

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