Applied Mechanics and Graphic Statics
The necessary condition of equilibrium of a body is:

Algebraic sum of vertical components of all the forces must be zero
All (A), (B) and (C)
Algebraic sum of the moments of the forces about a point must be zero
Algebraic sum of horizontal components of all the forces must be zero

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Applied Mechanics and Graphic Statics
The resolved part of the resultant of two forces inclined at an angle θ in a given direction is

Difference of the forces multiplied by cosine θ°
Sum of the forces multiplied by the tangent θ°
Algebraic sum of the resolved parts of the forces in the direction
Arithmetical sum of the resolved parts of the forces in the direction

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