Find analytically the sum or resultant of the following displacements:

A= 10m Northwest , B= 20m 30 degree north of east and C = 35m due Souh

5 answers

All angles are measured CCW from +x-axis:
Fr = 10m[135o] + 20m[30o] + 35m[270o].
Fr = (-7.07+7.07i) + (17.32+10i) + (0-35i),
Combine like-terms and convert to polar form:
10.25 - 17.93i = 20.7m[-60o] = 20.7m[60o] S. of E.
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