Generalizing the Cross Product to <i>N</i> Dimensions: A Novel Approach for Multidimensional Analysis and Applications

Generalizing the Cross Product to <i>N</i> Dimensions: A Novel Approach for Multidimensional Analysis and Applications

This paper presents a generalization of the cross product to <i>N</i> dimensions, extending the classical operation beyond its traditional confines in three-dimensional space. By redefining the cross product to accommodate <inline-formula><math xmlns="http://www.w3.org/1998...

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Bibliographic Details
Main Authors: Samir Brahim Belhaouari, Yunis Carreon Kahalan, Ilyasse Aksikas, Abdelouahed Hamdi, Ismael Belhaouari, Elias Nabel Haoudi, Halima Bensmail
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Mathematics
Subjects:
cross products
linear algebra
determinant
Gram matrix
Gram–Schmidt
orthogonal projections
Online Access:https://www.mdpi.com/2227-7390/13/3/514
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