Vector Field
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Quadruple vector products
Equations are omitted for technical reasons - download the original pdf
These are relations involving four vector products. One important relation is [Equation goes here - download the original pdf to see it.] Proof. For the triple scalar product we can demonstrate the relation [Equation goes here - download the original pdf to see it.] Substitute [Equation goes here - download the original pdf to see it.] into this to get [Equation goes here - download the original pdf to see it.] Then using the result [Equation goes here - download the original pdf to see it.] [Equation goes here - download the original pdf to see it.Question 1 [Example goes here - download the original pdf to see it.] Question 2 [Example goes here - download the original pdf to see it.]
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Contents of Vector Field
1 Scalar and Vector Algebra -Prerequisites 2 Formal definition of a vector 3 The position vector 4 About vectors 5 Orthonormal basis 6 Scalar product 7 Scalar invariant 8 Resolute of a vector 9 The cross (vector) product 10 Distributive law 11 Basis vectors 12 Area of the parallelogram 13 Parallel, anti-parallel 14 The triple scalar product 15 The triple vector product 16 Quadruple vector products
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