(briefly how is he getting k8.v2.v3 in the images)
He's trying to use POLY(dimension) to model a source using a polynomial to represent it. Form of Poly is k0 + k1x + k2x^2 and so forth so.. how the heck has he got k8*v2v3? If v1 v2 v3 are elements/dimensions of x the vector then x*x is the cross product and therefore.. you would get
k0 + k1(v1, v2, v3) +k2(v1,v2,v3) x (v1,v2,v3) and so on..
If on the other hand he's doing (k0v1, k1v2, k2v3) to represent his vector then how does k7 enter the picture
(if the Q is too simple for this place could you point me elsewhere - more suitable location)