What is the 8D Cross Vector Product?

AI Thread Summary
The discussion focuses on the concept of the 8-dimensional cross vector product, specifically the mathematical formulation for two vectors in eight dimensions. The original poster expresses urgency in finding the solution, suggesting the use of MATLAB for calculations involving arrays or matrices. A participant claims to have derived the answer by defining two vectors, a and b, with dimensionality k, and introduces a formula for the cross product that involves summing products of the vector components with unit vectors of the respective dimensions. The response indicates a method for calculating the cross product in higher dimensions, although the exact mathematical representation for the 8D case remains unclear.
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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