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Orthonormal basis 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.

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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