Hi, I need some serious help in paradoxical groups! 1) Given vectors v1,v2 in R2 and w1,w2 in R2 (none lieing on a line thru the origin), show that you can find a unique C such that Cv1=w1 and Cv2=w2. 2) Show that a finite group is not very paradoxical. 3) Is F3 paradoxical? Is Z? THANKS!!!!!