Three forces are applied to an object, as indicated in the drawing. Force Farrowbold1 has a magnitude of 29.0 newtons (29.0 N) and is directed 30.0° to the left of the +y axis. Force Farrowbold2 has a magnitude of 18.9 N and points along the +x axis. What must be the magnitude and direction (specified by the angle θ in the drawing) of the third force Farrowbold3 such that the vector sum of the three forces is 0 N?

Answer 1

F1 = -14.5i + 25.1j
F2 = 18.9i
Now we want F3 such that

(-14.5i+25.1j)+(18.9i+0j) + F3 = (0,0)

That should help

Answer 2

correct.