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

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

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