Consider three force vectors F~ 1 with magnitude 52 N and direction 125 , F~ 2 with magnitude 92 N and direction 193 , and F~ 3 with magnitude 71 N…

Consider three force vectors F~ 1 with magnitude 52 N and direction 125◦ , F~ 2 with magnitude 92 N and direction 193◦ , and F~ 3 with magnitude 71 N and direction 83◦ . All direction angles θ are measured from the positive x axis: counter-clockwise for θ > 0 and clockwise for θ < 0. What is the magnitude of the resultant vector kF~ k, where F~ = F~ 1 + F~ 2 + F~ 3 ? Answer in units of N.