Answer Happy

Let V be the set of vectors shown below. V= x<0, y su 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. O B. 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 nonpositive numbers, which must also be nonpositive. OC. The vector u + v must be in V because V is a subset of the vector space R2 OD. 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=4 2 OB. U C= -1 2 O c. u= C=4 -2 - 2 OD. U = c= -1