Parallelopiped

The triple scalar product of three vectors is the volume of the parallelopiped from by the three vectors.

Basically ((U x V) ^. W) = Volume of parallelopiped formed by the vectors U, V, and W.

Par`al*lel`o*pi"ped (?), n. [Gr. a body with parallel surfaces; parallel + a plane surface, on the ground, or level with it, level, flat; on + the ground: cf. F. parall'elopipede.] Geom.

A solid, the faces of which are six parallelograms, the opposite pairs being parallel, and equal to each other; a prism whose base is a parallelogram.

 

© Webster 1913.