Vektorski produkt na $\mathbb{R}^n$

Pavlek, Matea (2015) Vektorski produkt na $\mathbb{R}^n$. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In this diploma thesis we consider the existence of cross product on $\mathbb{R}^n$. Starting from the definition and properties of cross product, we show that such cross product exists only for $n = 0, 1, 3$ and 7. Furthermore, using the Hurwitz theorem, we give an alternative proof of that claim. Ultimately, we show in which cases does cross product, defined as a multilinear function, exists.

Item Type: Thesis (Diploma thesis)
Supervisor: Perše, Ozren
Date: 2015
Number of Pages: 28
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 13 Jan 2016 11:59
Last Modified: 13 Jan 2016 11:59
URI: http://digre.pmf.unizg.hr/id/eprint/4379

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