Mambo Toolbox Functions


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&oo — Finding the dot product between two MAMBO vectors or descriptions [mupad/matlab]

Reference for maple version: 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 dot product of the two MAMBO vectors/descriptions v and w.

Two MAMBO descriptions are compatible provided that the number of columns of the first description equals the number of rows of the second description.

Examples

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

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

Vector Dot Product Output

See Also

MakeTranslations, MakeDescription, &--, &**, &++, &xx, VectorLength

Toolbox functions

&**, &++, &--, &xx, &oo &>, &>=, &<, &<=, &==, &!= AngularMomentum AngularVelocity CoeffExtract DeclareObservers DeclarePoints DeclareStates DeclareTriads DefineNeighbors DefineObjects DefineObservers DefinePoints DefineTriads DiffTime Express FindCoordinates FindOrientation FindPosition FindRotation FindTranslation ForceDescription GeometryOutput LinearMomentum LinearVelocity MakeDescription MakeRotations MakeTranslations MamboSimplify MomentumDescription MotionOutput NullVector Restart Undo VectorLength VelocityDescription