>>14256753Fb is a vector of magnitude 560 parallel to <2, -3, -6>
Fc is a vector of magnitude 700 parallel to <3, 2, -6>
Unit vector of Fb is (1/7)<2, -3, -6>, so Fb=80*<2, -3, -6>, or <160, -240, -480>
Fc has a unit vector of (1/7)<3, 2, -6>, so times 700, Fc=<300, 200, -600>
Then just add the components to get the vector <460, -40, -1080>, which has a magnitude of approximately 1174.56.
tan(a)=-40/460, so the angle between the x axis and the resultant force is about -0.867 radians or
cos(b)=-1080/1174.56, so the angle with the z-axis is 2.73 radians
Obviously the angles are retarded and should be fixed, but I'm like 90% sure I made a mistake somewhere else anyway and can't be arsed to make it look pretty.