SOLUTION: Find the magnitude of w to three significant digits and its bearing to the nearest tenth of a degree. u:magnitude 621, bearing 305 degrees v:magnitude 336, bearing 15 degrees Fi

Algebra ->  Vectors -> SOLUTION: Find the magnitude of w to three significant digits and its bearing to the nearest tenth of a degree. u:magnitude 621, bearing 305 degrees v:magnitude 336, bearing 15 degrees Fi      Log On


   



Question 308753: Find the magnitude of w to three significant digits and its bearing to the nearest tenth of a degree.
u:magnitude 621, bearing 305 degrees
v:magnitude 336, bearing 15 degrees
Find w if 3(w+u)=2(w-v)
Thank You so much

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
U=621*(cos%28305%29,sin%28305%29)
V=336*(cos%2815%29,sin%2815%29)
.
.
3W%2B3U=2W-2V
W=-3U-2V
.
.
-3U=-1008*(cos%28305%29,sin%28305%29)
-2V=-672*(cos%2815%29,sin%2815%29)
W=(-1008cos%28305%29-672cos%2815%29,-1008sin%28305%29-672sin%2815%29)
W=(-1227.267,651.779)
Square the components, add them, and take the square root to get magnitude.
Remember tan%28A%29=y%2Fx
Which leads to a magnitude of 1389.604 and a bearing of 152.0 degrees.