[2] Suppose that two known forces, which are going to represented as vectors, A and B are pushing an object and an unknown equilibrant force, C, is acting to maintain that object in a fixed position.
Force A points to the west and has a magnitude of 10 N and is represented by the vector <-10, 0>N.
Force B points to the south and has a magnitude of 8.0 N and is represented by the vector <0, -8>N.
This addition will look like A + B = <-10, 0>N + <0, -8>N = <-10, -8>N which is the vector representation of the resultant force.
The angle of the equilibrant force can be found by trigonometry to be approximately 51 degrees north of east.