You are to program a robotic arm on an assembly line to move in the x, r-plane. Its first displacement is A; its second displacement is B, of magnitude 6.40 cm and direction 63.0° measured in the sense from the +x-axis toward the -y-axis. The resultant C = A + B of the two displacements should also have a magnitude of 6.40 cm, but a direction 22.0" measured in the sense from the + x-axis toward the +y-axis.

(a) Draw the vector addition diagram for these vectors, roughly to scale.

(b) Find the components of A.

(c) Find the magnitude and direction of A.