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 .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d23c93b-870e-4ad1-8eae-60e3d2381ea8%2F6628fb8a-0a78-4d62-a216-f6242a5464cd%2Fc1wh2_processed.jpeg&w=3840&q=75)
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Solution:
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:
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