four forces 8N,6n,2n and 4n act on a point O in the directions north,east,south and west respectively,find the magnitude of their result and the direction of their resultant force.

Answer 1

net north = 8 - 2 = 6 Newtons
net east = 6-4 = 2 Newtons

|F| = sqrt (36 + 4) = 2 sqrt 10

tan angle n of e = 6/2 = 3

angle n of e = 71.6 degrees north of east
or
90 - 71.6 = 18.4 degrees east of north (compass direction)