three forces of magnitude 6N, 2N and 3N act on a small object in directions north, south and west respectively, find magnitude of the resultant force

2 answers

r = <0,6>+<0,-2>+<-3,0> = <-3,4>
|r| = 5
Fr = 6i-2i-3 = -3+4i.
Fr = sqrt(3^2+4^2) = 5 N.