Let V be the set of vectors shown below. 1= = {[*] :x>0, y = 0} 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 c 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 may or may not be in V depending on the values of x and y. OB. The vector u + v must be in V because V is a subset of the vector space R². OC. The vector u + v must be in V because the x-coordinate of u + v is the sum of two positive numbers, which must also be positive, and the y-coordinate of u + v is the sum of nonnegative numbers, which must also be nonnegative. D. The vector u + v is never in V because the entries of the vectors in V are scalars and not sums of scalars.

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