Three co-linear forces f1=45 N west,f2=63 N east and an unknown force f3 are applied to an object.The resultant force of the three forces is 12 N west

determine the magnitude and direction of the force f3 using an algebric calculation(vector addition)
answer
fres=f1^2 f2^2
12=45^2 63^2
5994-12
squareroot(5982)=77.34
direction tan=45/63
=0.71
35.53

did i do the magnitude and the direction correct

2 answers

F1 = -45 N.
F2 = 63 N.
F3 = ?.
Fr = -12.

Fr = F1 + F2 + F3 = -12 N.
-45 + 63 + F3 = -12.
18 + F3 = -12.
F3 = -30 N. = 30 N., West.
Note: Co-linear forces act along the same line but not necessarily in the same direction.