[ODE] vector to matrix math

[Pawel S]

Hello everyone!

I have a mathematical problem not related to ODE.

I need to find out the 3x3 matrix that represents the orientation of a
vector. This vector is the direction of a thrust vector from a thruster.
The matrix is needed in order to correctly represent the exhaust flame
graphically.

For exemple the direction down = cVector( 0.0, -1.0, 0.0 ) could be
represented by the matrix:

  1.0, 0.0, 0.0
[ 0.0, 1.0, 0.0 ] = the identity matrix
  0.0, 0.0, 1.0

and the direction cVector( 1.0, 0.0, 0.0 ) could be represented by the
matrix:

   0.0, 1.0, 0.0
[ -1.0, 0.0, 0.0 ]
   0.0, 0.0, 1.0

I appreciate any help.

Pawel S