## 80 Citations

### Vektorski produkt na R n , normirane algebre i H – prostori

- Mathematics
- 2016

∗Prirodoslovno-matematički fakultet Matematički odsjek, Sveučilište u Zagrebu, email: mateapavlek@yahoo.com †Prirodoslovno-matematički fakultet Matematički odsjek, Sveučilište u Zagrebu, email:…

### Vektorski produkt na \(R^n\)

- Physics
- 2015

U ovom radu govorimo o egzistenciji vektorskog produkta na \(\mathbb{R}^n\). Polazeci od definicije i svojstva vektorskog produkta, pokazujemo da tak

### Vector products*

- HistoryThe Mathematical Gazette
- 2000

In his thought-provoking Note 82.45 (November 1998) about products of vectors, Bob Ardler asks (p. 454) “Why does dot thrive in n dimensions, but cross only in 3?” and (p. 456) “Which, if any,…

### Algebras with a bilinear form, and Idempotent endomorphisms

- Mathematics
- 2022

. The category k - BFAlg of all k -algebras with a bilinear form, whose objects are all pairs ( R,b ) where R is a k -algebra and b : R × R → k is a bilinear mapping, is equivalent to the category of…

### The Cross Products of M Vectors in N-dimensional Spaces and Their Geometric Significance

- Mathematics
- 2022

In textbooks and historical literature, the cross product has been deﬁned only in two and three-dimensional Euclidean spaces and the cross product of only two vectors has been deﬁned in only high…

### Extendable orthogonal sets of integral vectors

- MathematicsResearch in the Mathematical Sciences
- 2022

Motivated by a model in quantum computation, we study orthogonal sets of integral vectors of the same norm that can be extended with new vectors keeping the norm and the orthogonality. Our approach…

### A coordinate-free view on "the" generalized cross product

- Mathematics
- 2021

The higher dimensional generalization of the cross product is associated with an adequate matrix multiplication. This coordinate-free view allows for a better understanding of the underlying…

### Matrix representation of a cross product and related curl-based differential operators in all space dimensions

- MathematicsOpen Mathematics
- 2021

Abstract A higher dimensional generalization of the cross product is associated with an adequate matrix multiplication. This index-free view allows for a better understanding of the underlying…

### The moving discontinuous Galerkin finite element method with interface condition enforcement for compressible viscous flows

- Computer ScienceInternational Journal for Numerical Methods in Fluids
- 2021

The moving discontinuous Galerkin finite element method with interface condition enforcement is applied to the case of viscous flows and is shown to accurately resolve and transport viscous structures without relying on numerical dissipation for stabilization.

### Existence of Cross Product and Application

- Computer Science
- 2020

The paper aims to assess the existence ofCross product in 3 dimensional, 7 dimensional and further explore the reasons for non existence of cross product does in other dimensions through casual and descriptive research design.

## References

SHOWING 1-8 OF 8 REFERENCES

### On the nonexistence of elements of Hopf invariant one

- Mathematics
- 1958

For the context of this question, see [5] (especially pp. 436-438), [4, Chapter VI] and [6, §§20, 21]. This theorem results from reasonings with secondary cohomology operations. I t is generally…

### Ueber die Composition der quadratischen Formen von belibig vielen Variablen

- Mathematics
- 1898

DigiZeitschriften e.V. gewährt ein nicht exklusives, nicht übertragbares, persönliches und beschränktes Recht auf Nutzung dieses Dokuments. Dieses Dokument ist ausschließlich für den persönlichen,…

### General Cohomology Theory and K-Theory

- Mathematics
- 1971

1. General Cohomology Theories 2. Exact Couples and Spectral Sequences 3. The Generalized Atiyah-Hirzebruch Spectral Sequence 4. K- Theory 5. K-Theory, the Chern Character and the Hopf Invariant…