Unformatted text preview: Show that the vector field given by k j i F z x y y-+ + = ) ( is solenoidal and find a vector potential A , where . A F × ∇ = 4. A vector field F for which curl F = 0 is said to be conservative, curl-free or irrotational. Show that the vector field given by k j i F 3 2 z y x +-= is irrotational and find a corresponding scalar potential φ , where . ϕ ∇ = F...
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- Spring '10
- Vector Calculus, 3k, Vector field, 2 g, zk, fg + gf