What is the 8D Cross Vector Product?

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SUMMARY

The 8-dimensional cross vector product is defined using two vectors, a and b, each with dimensionality k, and the unit vector nk for dimension k. The formula for the cross product is expressed as a summation of products of the vector components multiplied by the corresponding unit vector components. This mathematical representation allows for the computation of the cross product in higher dimensions, which can be executed using MATLAB for efficient calculations involving arrays or matrices.

PREREQUISITES
  • Understanding of vector mathematics
  • Familiarity with the concept of unit vectors
  • Basic knowledge of MATLAB programming
  • Comprehension of dimensionality in mathematics
NEXT STEPS
  • Explore MATLAB functions for vector operations
  • Study the properties of cross products in higher dimensions
  • Learn about the applications of 8D vectors in computational mathematics
  • Investigate the mathematical theory behind unit vectors and their significance
USEFUL FOR

Mathematicians, computer scientists, and engineers working with high-dimensional data, as well as students studying advanced vector calculus and linear algebra.

dr-dock
8d cross vector product,URGENT

i wonder what will be the 8-dimensional cross vector product or

(N1,N2,N3,N4,N5,N6,N7,N8)x(M1,M2,M3,M4,M5,M6,M7,M8)=?

i need the answer real bad,so please answer if you can.
if you happen to have the mathlab program it might answer cause it does all the calculus with arrays or matrixes(at least that's what some say).
 
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it's ok i have the answer!

I have the answer people!

i define two vectors a and b with dimensionality k. also i define nk as the unit vector of dimension k.

then the cross product is as such:

a x b = (a1*b1*n1 + a1*b2*n2 + ... + a1*bk*nk) +
(a2*b1*n1 + a2*b2*n2 + ... + a2*bk*nk) +
... +
(ak*b1*n1 + ak*b2*n2 + ... ak*bk*nk)

good work A?
 

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