# Extrusion , 2d profile and 2d matrix reduction?

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hello.
I have this problem:
I have a 2d profile, an extrusion direction a depth and a 3d transformation.
The 2d profile is extruded along the extrusion direction ,for a depth .
The 3d transformation rotates the 2d profile in the profile plane.
I would like to extract the angle of rotation of the 2d profile in the profile plane after the apply of the rotation matrix.
I trying this method:
1)save a point of the profile
2)apply the trasformation matrix on the point
3)get the transformed point
4)use a dot product for get with the acos function the angle after the transformation.
like:
 C3DVectorIfc pPoint = *(pProfile)[0]; double d = DEG_RAD(90.0); pmxRes->m_X = C3DVectorIfc(1.0, 0.0, 0.0); pmxRes->m_Y = C3DVectorIfc(0.0, cos(d), -sin(d)); pmxRes->m_Z = C3DVectorIfc(0.0, sin(d), cos(d)); C3DMatrixIfc pm = *pmxRes; C3DVectorIfc pPointNew = (pm * pPoint); pPointNew.Normalize(); pPoint.Normalize(); double dot=pPoint * pPointNew; double dAngle = ACos(dot); 

the problem is that this don't works.
for example:
1)pPoint = -162;-63.5;0.0
2)pPointNew= -162;0.0;-63.5
after the normalization
3)pPoint = -0.92;-0.38;0
4)pPoint = -0.92;0.0;-0.38
5)dot product: 0.85
6)double dAngle = acos(dot);
dAngle = 31°????? not 90°
I think that must be a problem of the 2d coord system.
may be that I must do a projection?
Because i read that the projection is an operation that involve coordinate system reduction.

i ask this to geometric tools programmers and they say:

"What you want is to keep
track of the "coordinate frame" vectors along the axis of the beam."

i think that this is the same solution that they say
http://stackoverflow...be-along-a-path

but i'm not understand.
thanks.

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