represent the forces on an interstellar object, O, due to the gravitational effect of three nearby stars. The forces are −→OP,

−−→OQ and −−→OR.

a. Determine the components of each force in the x and y directions and write −→OP, −−→OQ and −−→OR as coordinate vectors in terms of x and y.

b. Find the sum of the three forces. Is the object in static equilibrium?

c. There is another star nearby; the force acting on the object due to this star is represented by −→OS. What will −→OS be if the object is in static equilibrium?