Explain why work is a scalar quantity while force and displacement are vector??
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Work done is a scalar quantity because it is the dot/scalar product of force applied on a body and the displacement caused due to the applied force.(W=F.d)
Force, like displacement, velocity, and acceleration, is a vector quantity, which is why Newton’s Second Law is written as sigmaF = ma. Put into words, it says that the vector sum of the forces acting on an object is equal to its mass (a scalar) multiplied by its acceleration (a vector).
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Work is a scalar quantity because it is the dot product of two vectors (Force and displacement). Dot product of two vectors becomes scalar quantity. So, work done has only magnitude but not direction. Work done may be positive, negative or zero.
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