F = 153 N
Explanation:
Let us define first our directional convention. Anything pointing up or to the right is considered positive and anything pointing down or to the left is considered negative. Now let's look at the components and
:
= 350 N - 200 N = 150 N
= 180 N - 150 N = 30 N
The magnitude of the resultant force F is given by
To find the direction , we use
or