Mambo Toolbox Functions


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&oo — Finding the dot product between two MAMBO vectors or descriptions [maple]

Reference: Appendix B in Multibody Mechanics and Visualization by Harry Dankowicz, published by Springer Verlag UK, 2004.

Calling Sequence

v &oo w

&oo(v,w)

Parameters

v,w: MAMBO vectors or compatible MAMBO descriptions

Description

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

Examples

>Restart():
>DeclareTriads(a,b):
>DefineTriads(a,b,theta,3):
>v:=MakeTranslations(a,1):
>w:=MakeTranslations([a,1],[b,2]):
>v &oo w;

$1 - \sin (theta)$

>MakeDescription([seq(MakeTranslations(a,i),i=1..3)],3) &oo
  MakeDescription([seq(MakeTranslations(b,i),i=1..3)],1);

$[\begin{array}{c} \cos (th) & - \sin (th) & 0 \\ \sin (th) & \cos (th) & 0 \\ 0 & 0 & 1 \end{array}]$

See Also

Toolbox functions