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# Force Field Exercise

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I need perfect step by step solution please.

A force is given by: (vector)F(x, y, z) = (yz)x(^) + (xz)y(^) + (yx)z(^).

a. Find the work done by this force when a particle is taken from (0, 0, 2) to (2, 4, -3). Can you choose any path, or does the answer depend on the path?
b. Can a potential energy function be specified for this force? If so, find an appropriate function.

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#### Solution Preview

** Please see the attachment for the complete solution description **

A force is given by :

(a) Find the work done when a particle is taken from to Can we choose any path, or does the answer depend on the path?

To determine whether the work done in going from A to B is path-dependent, we must compute the curl of F. If the work done is path-independent; otherwise it is path-dependent.

We have: