Applied Mechanics and Graphic Statics
The characteristic of a couple is:

All listed here
Algebraic sum of forces, constituting a couple is zero
Algebraic sum of moments of forces, constituting a couple, about any point, is same
A couple can be never the balanced by a single force

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Applied Mechanics and Graphic Statics
The force acting on a point on the surface of a rigid body may be considered to act

At any point on the surface normal to the line of action of the force
On the periphery of the body
On any point on the line of action of the force
At the centre of gravity of the body

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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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