The document describes several physics problems involving forces and systems of forces acting on objects. For the first problem, the forces acting on a particle are given. By equating the tangents of the angles between the forces and the resultant, the value of F is found to be 4 N. The second problem gives forces acting at a vertex of a regular hexagon. The magnitude and direction of the resultant force is found to be 14 N along the DA direction. The distance from point B to the line of action of the resultant is 7√3 cm. The third problem involves finding the algebraic and vector components of a force F in the direction of the line AB connecting two points. The algebraic component is found