K-volume in Rn and the generalized Pythagorean theorem
Date of Publication
1998
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
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.
Abstract Format
html
Language
English
Format
Accession Number
TU08304
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
85 leaves
Keywords
Pythagorean proposition; Vector algebra; Matrices; Algebras, Linear
Recommended Citation
Kang, B. W., & Gaa, C. M. (1998). K-volume in Rn and the generalized Pythagorean theorem. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16444
