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master's thesis
Vektorski produkt na \(R^n\)
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:590668
Pavlek, Matea
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

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Pavlek, M. (2015). Vektorski produkt na \(R^n\) (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:590668

Pavlek, Matea. "Vektorski produkt na \(R^n\)." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:590668

Pavlek, Matea. "Vektorski produkt na \(R^n\)." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:590668

Pavlek, M. (2015). 'Vektorski produkt na \(R^n\)', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:590668

Pavlek M. Vektorski produkt na \(R^n\) [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 November 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:590668

M. Pavlek, "Vektorski produkt na \(R^n\)", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:590668

Metadata
TitleVektorski produkt na \(R^n\)
AuthorMatea Pavlek
MentorOzren Perše (mentor)
Committee memberOzren Perše (predsjednik povjerenstva)
Committee memberBoris Širola (član povjerenstva)
Committee memberZlatko Drmač (član povjerenstva)
Committee memberSiniša Slijepčević (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-11-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu govorimo o egzistenciji vektorskog produkta na \(\mathbb{R}^n\). Polazeći od definicije i svojstva vektorskog produkta, pokazujemo da tako definiran vektorski produkt postoji na \(\mathbb{R}^n\), samo za \(n = 0, 1, 3\) i 7. Nadalje, koristeći Hurwitzov teorem, dajemo i alternativni dokaz te tvrdnje. Na kraju, pokazujemo u kojim slučajevima postoji vektorski produkt kao multilinearna funkcija.
Abstract (english)
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.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:590668
Study programmeTitle: Finance and Business Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-01-29 10:04:02