You are to program a robotic arm on an assembly line to move in the ?xy?-plane. Its first displacement is its second displacement is of magnitude 6.40 cm and direction 63.0° measured in the sense from the +?x- ? axis toward the ??? axis. The resultant 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 (c) Find the magnitude and direction of
Solution 67P Step 1: It is given that, B = 6.40 cm. It makes an angle of 63 with the x-axis. A has not been determined. But the resultant C = A + B = 6.40 cm. The angle it makes with the x -axis is 23 . It can be only true if and only if vector A is a null vector or of zero magnitude.
