Oh, I see .. looks like shabbir referred to this thread (from Physics Forum) for the answers : http://www.physicsforums.com/showthread.php?t=315700.

But, the correct answers are not 3, -2, -1.

The answers are :

x= 2 cos (20)
y= 2 cos (140)
z= 2 cos (260)

Probably shabbir didn't read the last post carefully. It mentioned a nice short-cut method to solve, assuming X=3, Y=-2, Z=-1. But, they are not the real answers.

Anyway, congrats xpi0t0s