Three vectors a, b, and c each have a magnitude of 50m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 30o, 195o, and 315o, respectively. What are?

(a) The Magnitude and

(b) The angle of the vector a + b + c

(c) The magnitude and

(d) The angle of a – b + c what are the

(e) Magnitude and

(f) Angle of a fourth vector of such that (a + b) – (c + d) = 0?