1Vector and Tensor Algebra

1.1 Points and Vectors

Consider the three‐dimensional Euclidean space, denoted by images, whose geometry is built upon a set of primitive elements called points. Note that images is not a vector space in the sense of the algebra because the addition of points is a concept without meaning.

The difference between two points images and images of space images is defined by

where images is the vector whose origin is in images and ends at images. All the vectors which can be determined through the differences between points belonging to form the set associated with . The set is a (real) vector space, where the ...

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