## Second derivatives – vector calculus formulas

Second derivatives Curl of the gradient: The curl of the gradient of any scalar field φ is always the zero vector field $$\nabla \times (\nabla \varphi)=0$$ Divergence of…

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## Properties -vector calculus formulas

Properties For scalar fields ψ, ϕ and vector fields A, B, we have the following derivative identities. Distributive properties: $$1. \ \nabla (\psi+\phi)=\nabla\psi+\nabla\phi$$  2. \ \nabla (A+B)=\nabla…

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## Vector identities -vector calculus formulas

Vector identities Addition and multiplication: 1. A+B=B+A 1. \ A + B = B + A 2. A·B=B·A 2. \ A \cdot B = B \cdot A 3. A×B=-B×A 3. \ A \times…

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