Fig. $1$ shows a quaternary link ABCD under the action of forces $F_1,F_2,F_3$ and $F_4$ acting at $A,B,C$ and D respectively. The link is in static equilibrium. Determine the magnitudes of the forces $F_2$ and $F_3$ and the direction of $F_3.$ Take the length AB as $25$ mm $.($All dimensions in mm $)$