Is force a scalar quantity?


Scalar quantity is defined as the physical quantity with magnitude and no direction.

  • Some physical quantities can be described just by their numerical value (with their respective units) without directions (they don’t have any direction).
  • The addition of these physical quantities follows the simple rules of the algebra. Here, only their magnitudes are added.


A vector quantity is defined as the physical quantity that has both direction as well as magnitude.

  • A vector with the value of magnitude equal to one and direction is called unit vector represented by a lowercase alphabet with a “hat” circumflex. That is “û“.


The push or pull on an object with mass that causes it to change its velocity. Force is an external agent capable of changing the state of rest or motion of a particular body. It has a magnitude and a direction. The direction towards which the force is applied is known as the direction of the force and the application of force is the point where force is applied.

Since force has a direction it can be regarded as a vector quantity.


Hence force is not a scalar quantity. It is a vector quantity.

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