Question IV: 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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