Let V be the set of vectors shown below. V= x<0, y< a. If u and v are in V, is u + v in V? Why? b. Find a specific vector u in V and a specific scalar such that cu is not in V. a. If u and v are in V, is u + v in V? O A. The vector u+v must be in V because the x-coordinate of u +v is the sum of two negative numbers, which must also be negative, and the y-coordinate of u +v is the sum of negative numbers, which must also be negative. O B. The vector u+v may or may not be in V depending on the values of x and y. O C. The vector u+v must be in V because V is a subset of the vector space R?. O D. The vector u+ v is never in V because the entries of the vectors in V are scalars and not sums of scalars. b. Find a specific vector u in V and a specific scalar c such that cu is not in V. Choose the correct answer below. O A. u= C= -1 O B. u= ,C=4 - 2 C= - 1 2 Oc. u= -2 O D. u= -2 .C=4

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