A body placed in free space, is simultaneously acted upon by three forces `vec(F_(1)),vec(F_(2)) " and " vec(F_(3))`. The body is in equilibrium and the forces `vec(F_(1)) " and "vec(F_(2))` are known ot be 36 N due north and 27 N due east respectively. Which of the following best describes the force `vec(F_(3))`?

Options

A. 36N due south
B. 53N due `60^(@)` south of east
C. 45N due `53^(@)` south of west
D. 45N due `37^(@)` north of west.

Answer

C