[Closed] Rotate orthonormal basis

it’s Rotation matrix from axis and angle. Are you looking for Math or MAX solution?
Math is http://en.wikipedia.org/wiki/Rotation_matrix
MAX is[b] preRotate <matrix3> <quat>

[/b]when you rotate the matrix it’s easy to get its axis. X,Y,Z are row1, row2, row3 respectively.

let’s say we have:
original transform – tm
new Z vector: zvector
the tm after rotation will be:

-- angle of rotation:
ang = acos (dot [b]zvector  [/b]tm.row3)
-- axis of rotation:
axis = normalize (cross [b]zvector [/b]tm.row3)
-- rotate about pos of [b]tm:[/b]
rot_tm = preRotate [b]tm  [/b](quat ang axis)
-- new X and Y axis:
X = rot_tm.row1
Y = rot_tm.row2

It works like a dream!

Thanks a lot!