Given two three vectors the "inner" product is:
...........|X|
[x y z]|Y| = [xX + yY + zZ]
...........|Z|
Which we use all the time (dot product). There is
also an outer product:
|x|.................|xX xY xZ|
|y|[X Y Z] = |yX yY yZ|
|z|.................|zX zY zZ|
I'm not sure this is useful for anything in graphics, or even what this thing is operationally.