Here are the test results (running main() ) for the
three geometry classes.  RPF  1/24/05

[PBG4:examps/examps/geom] robertfu% java Vec

Empty vector is: [0.0,0.0,0.0]

v1 is: [1.0,0.0,1.0]
v2 is: [0.0,1.0,0.0]

Inner product of v1, v2:
0.0

Outer product of v1, v2:
[-1.0,0.0,1.0]

Outer product of v2, v1 (other order):
[1.0,0.0,-1.0]

v3: [3.0,4.0,0.0]

Length of v3: 5.0

Normalized copy of v3:
[0.6,0.8,0.0]

v3 itself normalized. Not a copy:
[0.6,0.8,0.0]



[PBG4:examps/examps/geom] robertfu% java Mat

Unit matrix is: 
|  1.0000  0.0000  0.0000  0.0000 |
|  0.0000  1.0000  0.0000  0.0000 |
|  0.0000  0.0000  1.0000  0.0000 |
|  0.0000  0.0000  0.0000  1.0000 |
Translation matrix: 
|  1.0000  0.0000  0.0000  1.0000 |
|  0.0000  1.0000  0.0000  2.0000 |
|  0.0000  0.0000  1.0000  3.0000 |
|  0.0000  0.0000  0.0000  1.0000 |
Vector to be translated is: [5.0,5.0,5.0]
Translated vec is: [6.0,7.0,8.0]
Second translation matrix: 
|  1.0000  0.0000  0.0000  7.0000 |
|  0.0000  1.0000  0.0000  11.0000 |
|  0.0000  0.0000  1.0000  15.0000 |
|  0.0000  0.0000  0.0000  1.0000 |
Product of two translations, should be additive:
|  1.0000  0.0000  0.0000  8.0000 |
|  0.0000  1.0000  0.0000  13.0000 |
|  0.0000  0.0000  1.0000  18.0000 |
|  0.0000  0.0000  0.0000  1.0000 |


[PBG4:examps/examps/geom] robertfu% java Triangle
Triangle vertices are:
[0.0,0.0,0.0]
[100.0,0.0,0.0]
[0.0,100.0,0.0]

Translation matrix: 
|  1.0000  0.0000  0.0000  1.0000 |
|  0.0000  1.0000  0.0000  2.0000 |
|  0.0000  0.0000  1.0000  3.0000 |
|  0.0000  0.0000  0.0000  1.0000 |
Translated triangle vertices are:
[1.0,2.0,3.0]
[101.0,2.0,3.0]
[1.0,102.0,3.0]