Let W be the union of the second and fourth quadrants in the xy-plane. That is, let W = and b below. a. If u is in W and c is any scalar, is cu in W? Why? X -D If u = у A. B. If u = X y is in W, then the vector cu = c X **-** If u = y [3]- y is in W, then the vector cu = c CX X CX [][] y су is in W, then the vector cu = c су X {*]: xY=O). X CX [][] = y су is not in W because cxy 20 in some cases. Complete parts a is in W because (cx) (cy) = c²(xy) ≤0 since xy ≤0. is in W because cxy ≤0 since xy ≤ 0. 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.)

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