v~MamboDot~w

MamboDot[v,w]

v,w: MAMBO vectors or compatible MAMBO descriptions

The function MamboDot returns the vector dot product of the two MAMBO vectors/descriptions v and w.

Restart;
DeclareTriads[a,b];
DefineTriads[a,b,theta,3];
v=MakeTranslations[a,1];
w=MakeTranslations[{a,1},{b,2}];
v~MamboDot~w

$1-\mathrm{Sin}\left[\mathrm{theta}\right]$

MakeDescription[Table[MakeTranslations[a,i],{i,3}],3]~MamboDot~
  MakeDescription[Table[MakeTranslations[b,i],{i,3}],1]//MatrixForm

$\left(\begin{array}{ccc}\mathrm{Cos}\left[\mathrm{theta}\right]& -\mathrm{Sin}\left[\mathrm{theta}\right]& 0\\ \mathrm{Sin}\left[\mathrm{theta}\right]& \mathrm{Cos}\left[\mathrm{theta}\right]& 0\\ 0& 0& 1\end{array}\right)$

MakeTranslations, MakeDescription, MamboMinus, MamboTimes, MamboPlus, MamboCross, MamboNorm