This demonstration is an interactive visualization of the physical concept of work done by a force over a displacement. It uses a 3D environment to illustrate how the dot product relates to work. You can use sliders to adjust the magnitude and direction of the force vector $F$ and see how this dynamically changes its components and the calculated work, $d W$. By orbiting the scene with your mouse, you can gain a better understanding of the vector relationships from all angles.

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the work done by a force over a displacement

the work done by a force over a displacement