Question

Is work a Vector or Scalar?

Answer 1

Explanation:

1. When an external force is applied and an object is moved over a distance, the energy transfer from or to the item is measured as work.
2. A force must be applied to complete a task, and that force's direction must be moved in some way.
3. Therefore, we can define work as the dot product of the component of force acting in the force's direction and the force's magnitude:
4. $W=F.d$, where, $W=work,F=Force\&d=Displacement$.

Therefore,

1. Displacement and force are both vector quantities. That implies that both magnitude and direction exist for forces and displacement.
2. Work lacks direction and only has magnitude.
3. Force and displacement are combined to form the formula for work.
4. Work is a scalar quantity as a result.

Hence, Work is a scalar.