Question

Three vectors a → , b → , and c → , each have a magnitude of 43.0 m and lie in an xy plane. Their directions relative to the positive direction of the x axis are 26.0 ˚, 192 ˚, 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 → + c → 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 d → such that ( a → + b → ) - ( c → + d → ) = 0 ?

Answer 1

we have to keep in mind the X and Y components of a vector , as its sign determines the octant in which it will lie.