5)Draw diagrams to explain the answers to the following questions. a. Is it possible to have a b = 0? b. Is it possible to have a b undefined? c. Is it possible to have a b = b a ? d. Explain why a c = a ( b c )

6. Answer the following with either an explanation, a diagram or a proof: a. If a b = a c , what is the relationship between b and c ? b. If a b = a c , what is the relationship between b and c ?

7. Prove that a b = -( b a ) for all a , b 3