Identities Prove the following identities. Assume φ is a differentiablescalar-valued function and F and G are differentiable vectorfields, all defined on a region of ℝ3. ∇ x (∇ x F) = ∇(∇ ⋅ F) - (∇ ⋅ ∇)F

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Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 45E: Calculus Let B={1,x,ex,xex} be a basis for a subspace W of the space of continuous functions, and...
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Identities Prove the following identities. Assume φ is a differentiable
scalar-valued function and F and G are differentiable vector
fields, all defined on a region of3.

x ( x F) = ( F) - ( )F

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