If V is a vector field, prove that: ∇ × (∇ × V) = ∇ (∇ · V) − ∇²V
Added by Timothy W.
Step 1
First, we expand the left-hand side of the equation using the vector identity for the curl of a curl: ∇ × (∇ × V) = ∇(∇ · V) − ∇²V − 2∇(V · ∇) Show more…
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