3.1 Given the force field F=(4xy – 3x'z*)î +(4y+2x*)j+(1–2x'z)& 3.1.1 Prove that Fo dr is independent of the curve C joining two giving points. 3.1.2 Find the work done in moving a particle from (1, 1, 1) to (2, 2, 1) by F.

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3.1 Given the force field F=(4xy – 3x'z')î +(4y+2x*)j+(1-2r'z)k
3.1.1 Prove that IFo dr is independent of the curve Cjoining two giving points.
3.1.2 Find the work done in moving a particle from (1, 1, 1) to (2, 2, 1) by F .
Transcribed Image Text:3.1 Given the force field F=(4xy – 3x'z')î +(4y+2x*)j+(1-2r'z)k 3.1.1 Prove that IFo dr is independent of the curve Cjoining two giving points. 3.1.2 Find the work done in moving a particle from (1, 1, 1) to (2, 2, 1) by F .
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3.1.1. The given integral will be independent of, c if the force is conservative. A force F is conservative if it satisfies the following condition:

.F=ijkxyzFxFyFz=0                                                                                                              .......1

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