Vector Field
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Orthonormal basis
Equations are omitted for technical reasons - download the original pdf
The vectors Equation goes here - download the original pdf to see it.] form an orthonormal basis for the totality of three-dimensional vectors. The term orthonormal means that any one of these basis vectors is perpendicular to the other two. The term basis means that every three-dimensional vector can be represented as a linear combination of these three vectors; that is, for any vector r [Equation goes here - download the original pdf to see it.] where [Equation goes here - download the original pdf to see it.] are scalars.
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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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