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Let F~ (x, y, z) = x cos(x 2 + y 2 − z 2 )~i...

Let F~ (x, y, z) = x cos(x 2 + y 2 − z 2 )~i + y cos(x 2 + y 2 − z 2 )~j − z cos(x 2 + y 2 − z 2 ) ~k be the force acting on a particle at location (x, y, z). Under this force field, the particle is moved from the point P = (1, 1, 1) to Q = (0, 0, √ π). What is the work done by the force to move this particle?

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