**Last modified:***Friday, 1 July 1994***Source code: 3D-tensor-quantities.lisp****List of other known theories**

This theory specializes the Tensor-Quantities for tensors of spatial.dimension 3. 3D-tensors are ubiquitous in engineering analysis and have important special properties. The cross product (or vector product) is defined for vector-quantities of spatial.dimension 3.

- (c) 1993, 1994 Gregory R. Olsen and Thomas R. Gruber

**See-Also:**The EngMath paper on line

Tensor-Quantities

Simple-Geometry

3d-Dyad 3d-Vector-Quantity

Cross

**The following constants were used from included theories:**

******defined as a***function***in theory***Kif-Numbers********defined as a***function***in theory***Basic-Matrix-Algebra********defined as a***function***in theory***Physical-Quantities********defined as a***function***in theory***Scalar-Quantities********defined as a***function***in theory***Tensor-Quantities****-***defined as a***function***in theory***Kif-Numbers****-***defined as a***function***in theory***Basic-Matrix-Algebra****-***defined as a***function***in theory***Physical-Quantities****-***defined as a***function***in theory***Tensor-Quantities****Arity***defined as a***function***in theory***Frame-Ontology****Class***defined as a***class***in theory***Frame-Ontology****Documentation***defined as a***relation***in theory***Frame-Ontology****Dot***defined as a***function***in theory***Tensor-Quantities****Dyad***defined as a***class***in theory***Tensor-Quantities****Function***defined as a***class***in theory***Kif-Relations****Nth-Domain***defined as a***relation***in theory***Frame-Ontology****Quantity.Dimension***defined as a***function***in theory***Physical-Quantities****Spatial.Dimension***defined as a***function***in theory***Tensor-Quantities****Subclass-Of***defined as a***relation***in theory***Frame-Ontology****The-Zero-Scalar-For-Dimension***defined as a***function***in theory***Scalar-Quantities****Vector-Component***defined as a***function***in theory***Tensor-Quantities****Vector-Quantity***defined as a***class***in theory***Tensor-Quantities**

**All constants that were mentioned were defined.**

Formatting and translation code was written by