A rectangular plate is supported by three cables as shown. Knowing that the tensions in cable AD is $650$ N $,$ determine the components of the force exerted on the plate at D and the angles each makes with the coordinate axes in each case.

Knowing that the tensions in cable $AC$ is $800$ N $,$ determine the components of the force exerted on the plate at Cand the angles each makes with the coordinate axes in each case.

Knowing that the tensions in cable $AB$ is $700$ N $,$ determine the components of the force exerted on the plate at $B$ and the angles each makes with the coordinate axes in each case