Vector addition/subtraction?

vector A=125 m/s, 40 degrees north of west. Vector B is 185 m/s, 30 degrees south of west and vector C is 175 m/s 50 east of south. Find A+B-C by vector resolution method. show all work

Vector addition/subtraction?
Components of A + B - C east and north are:


E: - 175 sin(50) - 185 cos(30) - 125 cos(40) = - 390.0.


That's 390.0 W.


N: 125 sin(40) - 185 sin(30) + 175 cos(50) = 100.3





Resultant magnitude


= sqrt(390.0^2 + 100.3^2)


= 402.7 m/s.





Resultant direction W x N where:


tan(x) = 100.3 / 390


x = 14.4 deg.


Direction is 14.4 deg. north of west.

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