Three vectors a,b, and c each have a magnitude of 45 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 29 ˚, 194 ˚, and 313 ˚, respectively. What are (a) the magnitude and (b) the angle of the vector (relative to the +x direction in the range of (-180°, 180°)), and (c) the magnitude and (d) the angle of in the range of (-180°, 180°)? What are (e) the magnitude and (f) the angle (in the range of (-180°, 180°)) of a fourth vector such that (a+b)-(c+d)=0 ?

Question

Three vectors a,b, and c each have a magnitude of 45 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 29 ˚, 194 ˚, and 313 ˚, respectively. What are (a) the magnitude and (b) the angle of the vector   (relative to the +x direction in the range of (-180°, 180°)), and (c) the magnitude and (d) the angle of   in the range of (-180°, 180°)? What are (e) the magnitude and (f) the angle (in the range of (-180°, 180°)) of a fourth vector   such that (a+b)-(c+d)=0 ?