Vector moments
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Differentiation of scalar and vector products.
Equations are omitted for technical reasons - download the original pdf
Suppose [Equation] is a vector field The functions [Equation] are its Cartesian coordinates this function. Then the vector field can be differentiated according to the obvious rule. [Equation] Then differentiation of scalar and vector (cross) products of vectors follows the normal product (Leibniz) rule. [Equation] We will prove the result for the cross product. That is [Equation] Let [Equation] [Equation] However the right-hand side of (*) is [Equation]
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Contents of
Vector moments
1 Vector calculus - Scalar Field
2 Contour curves
3 Vector Field
4 Vector field lines
5 Differentiation of scalar and vector products.
6 The gradient of a scalar field
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