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Show that the work done by the force field F=(y - 2xyz')i+(3+2xy-x'z'j+(6z'-3x'yz')k is path independent and calculate the work done by this force field in moving a particle from (1, -1, 2) to (2,3,1).

Show that the work done by the force field F=(y - 2xyz')i+(3+2xy-x'z'j+(6z'-3x'yz')k is path independent and calculate the work done by this force field in moving a particle from (1, -1, 2) to (2,3,1).

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Show that the work done by the force field F=(y' – 2xyz")î+(3+2.xy – x*z')}+(6z° – 3x°yz*)& is path independent and calculate the work done by this force field in moving a particle from (1, -1, 2) to (2,3,1).
Transcribed Image Text:Show that the work done by the force field F=(y' – 2xyz")î+(3+2.xy – x*z')}+(6z° – 3x°yz*)& is path independent and calculate the work done by this force field in moving a particle from (1, -1, 2) to (2,3,1).
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