Vector Field
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Resolute of a vector
Equations are omitted for technical reasons - download the original pdf
The resolute of a vector p in the direction of a unit vector [symbol] is defined to be [Equation goes here - download the original pdf to see it.] [Diagram goes here - download the original pdf to see it.] We can show [Equation goes here - download the original pdf to see it.] When [symbol] are the resolutes in the i, j, k directions respectively, the we say p has been resolved into components.
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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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