K-volume in Rn and the generalized Pythagorean theorem
This paper presents two generalized formulas in getting the volume of a parallelepiped generated by k vectors u1, u2, ..., uk in Rn namely: 1) IUTUI = Volume (V(U1, U2,...,Uk)2. 2) (Volume(V))2 = (Volume (P, V))2. These two formulas are proved and illustrated to facilitate the understanding of their...
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1998
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oai:animorepository.dlsu.edu.ph:etd_bachelors-169572022-02-12T00:56:40Z K-volume in Rn and the generalized Pythagorean theorem Kang, Byung Woo Gaa, Carmela M. This paper presents two generalized formulas in getting the volume of a parallelepiped generated by k vectors u1, u2, ..., uk in Rn namely: 1) IUTUI = Volume (V(U1, U2,...,Uk)2. 2) (Volume(V))2 = (Volume (P, V))2. These two formulas are proved and illustrated to facilitate the understanding of their application. Moreover, preliminary concepts needed to tackle the main results are given. 1998-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16444 Bachelor's Theses English Animo Repository Pythagorean proposition Vector algebra Matrices Algebras, Linear |
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De La Salle University |
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De La Salle University Library |
| continent |
Asia |
| country |
Philippines Philippines |
| content_provider |
De La Salle University Library |
| collection |
DLSU Institutional Repository |
| language |
English |
| topic |
Pythagorean proposition Vector algebra Matrices Algebras, Linear |
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Pythagorean proposition Vector algebra Matrices Algebras, Linear Kang, Byung Woo Gaa, Carmela M. K-volume in Rn and the generalized Pythagorean theorem |
| description |
This paper presents two generalized formulas in getting the volume of a parallelepiped generated by k vectors u1, u2, ..., uk in Rn namely: 1) IUTUI = Volume (V(U1, U2,...,Uk)2. 2) (Volume(V))2 = (Volume (P, V))2. These two formulas are proved and illustrated to facilitate the understanding of their application. Moreover, preliminary concepts needed to tackle the main results are given. |
| format |
text |
| author |
Kang, Byung Woo Gaa, Carmela M. |
| author_facet |
Kang, Byung Woo Gaa, Carmela M. |
| author_sort |
Kang, Byung Woo |
| title |
K-volume in Rn and the generalized Pythagorean theorem |
| title_short |
K-volume in Rn and the generalized Pythagorean theorem |
| title_full |
K-volume in Rn and the generalized Pythagorean theorem |
| title_fullStr |
K-volume in Rn and the generalized Pythagorean theorem |
| title_full_unstemmed |
K-volume in Rn and the generalized Pythagorean theorem |
| title_sort |
k-volume in rn and the generalized pythagorean theorem |
| publisher |
Animo Repository |
| publishDate |
1998 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/16444 |
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1772835119342551040 |