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Tensor-based Derivation of Standard Vector Identities by Rodriguez-Valverde, Miguel Angel; Tirado-Miranda, Maria is a scholarly article available to read on EtoBox.

What is Tensor-based Derivation of Standard Vector Identities about?

Vector algebra is a powerful and needful tool for Physics but unfortunately, due to lack of mathematical skills, it becomes misleading for first undergraduate courses of science and engineering studies. Standard vector identities are usually proved using Cartesian components or geometrical arguments, accordingly. Instead, this work presents a new teaching strategy in order to derive symbolically vector identities without analytical expansions in components, either explicitly or using indicial notation. This strategy is mainly based on the correspondence between three-dimensional vectors and skew-symmetric second-rank tensors. Hence, the derivations are performed from skew tensors and dyadic products, rather than cross products. Some examples of skew-symmetric tensors in Physics are illustrated.

Author

Rodriguez-Valverde, Miguel Angel; Tirado-Miranda, Maria

Published

2009

Language

EN