According to the Parallelogram Law of Forces, the resultant of two forces acting at an angle to each other is represented by: 

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  1. the perpendicular bisector of the two forces
  2. the difference of their magnitudes 
  3. the sum of their magnitudes 
  4. the diagonal of the parallelogram formed by the two forces

Answer (Detailed Solution Below)

Option 4 : the diagonal of the parallelogram formed by the two forces
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Explanation:

Parallelogram Law of Forces

It states that if two forces acting at a point are represented in magnitude and direction by the adjacent sides of a parallelogram, then the diagonal of the parallelogram represents their resultant force.

Additional InformationKey points of Parallelogram Law of Forces

  • Two Forces: The law applies to two forces acting on a body.

  • Parallelogram Formation: These forces form adjacent sides of a parallelogram.

  • Resultant Force: The diagonal of the parallelogram represents the magnitude and direction of the resultant force.

  • Magnitude and Direction: The magnitude of the resultant force is found by using vector addition (geometrically represented by the diagonal), and its direction is the direction of the diagonal of the parallelogram.

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