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One of the forces acting on a certain pa...

One of the forces acting on a certain particle depends on the particle's position in the `xy`-plane. This force `vec F` expressed in newtons, is given by the expression `vec F = (xy hat i+ xy hat j)` where `x` and `y` are in metres. The particle is moved from `O` to `C` through three different paths :-

The work done by this force on path `OBC` is

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