A triple scalar product and get used to find the volume of a three dimensional parallelogram.
See this for more details.
I needed to determine that u (dot) (v X x) = the determinant of:
u1 u2 u3
v1 v1 v3
w1 w2 w3
I did this, but now I need to give a geometric description of the absolute value of the aforementioned equation... How do I figure out what is going on here?