Question: Let F be a differentiable vector field and let g(x, y, z) be a differentiable scalar function. Verify the following identities. a. V (gF) =gV

Let F be a differentiable vector field and let g(x, y, z) be a differentiable scalar function. Verify the following identities. a. V (gF) =gV F + Vg F b. VX (gF) =

a. V (gF) =gV F + Vg F b. VX (gF) = gV XF + Vg X F

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