Rotation matrix from vectors to cone

[barcerlona]

I have a set of given vectors, I want to find a rotation matrix to convert them to vectors belong to surface of a cone with vertex is origin(vectors with the same slant angle but different tilt angles). Is there anybody know what is the solution?
Thanks

 

[mathwonk]

doesn't seem possible by a rotation. take (1,0), (0,1), (1,1).

 

[barcerlona]

doesn't seem possible by a rotation. take (1,0), (0,1), (1,1).

Sorry, I don't understand. What do you mean?