Three vectors a, b, and c, each have a magnitude of 51.0m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 26.0*, 193, and 313, respectively. What are (a) the magnitude and (b) the angle of the vector a + b + c (relative to the +x direction in the range of (-180%, 180")), and (c) the magnitude and (d) the angle of a - b + 7 in the range of (-1809, 1809)? What are (e) the magnitude and (f) the angle (in the range of (-180, 1809)) of a fourth vector d such that ( a + b) - (c + d) = 0? (a) Number Unit (b) Number i Unit (c) Number Unit (d) Number i Unit (e) Number i Unit (f) Number i Unit