Prove that F is conservative iff it is irrotational. That is F is conservative then it is irrotational and if F is irrotational then it is conservative. The 1st part is easy to show. In the second part, I have shown that ∂F_3/∂y=∂F_2/∂z. Similarly the other two partial derivatives are equal. How does one show that Φ is the scalar potential associated with F i.e. F= gradΦ?
2026-05-16 22:20:35.1778970035
Conservative fields
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