? is a vector field and ? is a scalar field
1. Prove in 3 dimensions: ∇ ∙ (∇ × ? ) = 0
2. Prove in 3 dimensions: ∇ × (∇φ) = 0
3. Prove in 3 dimensions: (?∙∇) ?= −? × (∇ × ?)+ ∇((?∙?)/ 2)
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