Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: When Does a Cross Product on R^{n} Exist?   It is probably safe to say that just about everyone reading this article is
familiar with the cross product and the dot product. However, what many readers
may not be aware of is that the familiar properties of the cross product in
three space can only be extended to R^{7}. The intention of this article is to
provide a new constructive elementary proof (i.e. could be included in an
linear algebra undergraduate text) of this classical result which is accessible
to a wide audience.

19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs