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⃗ ⃗ A. For the vector field ?(?, ?, ?) = (? + ?)?⃗ + (?...

⃗ ⃗
A. For the vector field ?(?, ?, ?) = (? + ?)?⃗ + (? + ?)?⃗ + (? + ?)?, answer the following:

(i) Find ???? ?⃗.
(ii) Deduce from (i) that ∫ ?⃗. ??⃗ is independent of path.

?
(iii) Find a potential function ? for ?⃗, ?. ?. , ∇? = ?⃗.

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