Question

A force of magnitude 100N is directed westward and a second force of magnitude 200N is directed 60 degrees north of east. Find the magnitude and direction of the third force that when added to the first 2 forces gives a resultant whose magnitude is 150N and points 30 degrees north of east?

Answer 1

$\vec F_3=\vec F-\vec F_1-\vec F_2,$

$F_3=250~N,$

$\varphi=-60°.$