I asked many people why work is scalar. But the questions and the answers just cycles.
My question : Why is work a scalar quantity?
Their answer : Because it is the dot product of Force and Displacement. So it is a scalar quantity.
So I asked,
My question : Why is work the dot product of force and displacement and not the cross product?
Their answer : Because it is a scalar quantity and not a vector.
So can anyone please tell me why work is scalar apart from this cycle of questions and answers? Is there any other logic which can answer both questions?
Edit : $W=Fs\cos\theta$. So $Fs\cos0 = -Fs\cos180$. So shouldn't work be a vector? This confusess me.