Consider three force vectors ~ F1, ~ F2, and ~ F3
with magnitude 43 N and direction 53�; mag-
nitude 94 N and direction 162�; and magni-
tude 59 N and direction 288�, respectively. All
direction angles are measured from the posi-
tive x axis: counter-clockwise for � > 0 and
clockwise for � < 0.
What is the magnitude of the resultant vec-
tor k~F k, where ~F = ~ F1 + ~ F2 + ~ F3 ? Draw the
vectors to scale on a graph to determine the
Answer in units of N Your answer must be
within ± 5.0%

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