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The product of the force on an object and the displacement the object undergoes along the direction of the force.

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How is it possible to define work for friction in several dimension?

But the formula for work $$W=\int_\gamma \vec{F}\cdot\vec{dr}$$ still holds. We just need to be a bit more careful about how we write $\vec{F}$. … From here hopefully you can see that, given a curve, we can find the work due to friction. Let me know if you're still having trouble with the details. …
Gus Beane's user avatar