Use the Levi-Civita symbol to prove that. (a) (f g) = f g
Question:
Use the Levi-Civita symbol to prove that.
(a) ∇ · (f g) = f ∇ · g + g · ∇f.
(b) ∇ ×(f g) = f ∇ ×g − g×∇f.
(c) ∇ ×(g × r) = 2g + r ∂g/∂r − r(∇ · g).
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