
ACTION:
 Multiply a 3vector by the inverse of a rotation matrix (double precision).

CALL:
CALL sla_DIMXV (DM, VA, VB)
GIVEN:
DM  D(3,3)  rotation matrix 

VA  D(3)  vector to be rotated 

RETURNED:

NOTES:


(1)
 This routine performs the operation:
where a and b are the 3vectors VA and VB respectively, and M is the
$3\times 3$
matrix DM.

(2)
 The main function of this routine is apply an inverse rotation; under these circumstances,
$$M
is orthogonal, with its inverse the same as its transpose.

(3)
 To comply with the ANSI Fortran 77 standard, VA and VB must not be the same array. The
routine is, in fact, coded so as to work properly on the VAX and many other systems even if
this rule is violated, something that is not, however, recommended.