Thank you for your answer Lars,
Thank you for the hint that my vectors can be parallel.
The direction of my normal vector is not so important.
Basically it schould not be the (0,0,0) Vector, but any other normal vector.
The most important thing  of my arrow is the direction, which is defined by
the eye position and the center position. I have to get any normal vector ,
because the lookAt(...) - arguments request for one.

No I have not to generate my vector in a default direction.
My scene consists of several sphere objects and every Sphere has
specific x,y,z - coordiantes. Now i have to connect spheres with each other
with arrows.
So for the constructor of an arrow i only have the start position and the
end position. Perhaps this could help you to imagine my problem :)
Perhaps you could give me the code for a proper Transform3d object,
which is constructed with the information of the start and end position of
the arrow.
Greets,

Horst Sueggel

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