Solution of task 1.3.7 from the collection of Kepe OE

Solution of task 1.3.7 from the collection of Kepe OE

1.3.7
The direction of the resultant three forces R = 33.8 H is given by the cosines of the guiding angles: cos (R ^ x) = 0.325; Cos (R ^ y) = 0; Cos (R ^ z) = 0.946. The projections of the forces F1 and F2 on the coordinate axes are respectively equal: Flx = 7 H; F1y = 10 N; F1z = 0; F2x = -5 H; F2y = 15N; F2z = 13 N. Determine the modulus of the force F3. (Response 32.6)