Answer:
False
Explanation:
(I guess if it were written "properly" it would be ax=bx implies a=b).
Given the axioms we were given, it would seem that the statement should be true, no?
A related statement -- also listed as false -- is that "in any vector space, ax=ay implies that x=y." Again, given the axioms we have.
Answer:
False
Explanation:
Simply use the counterexample u = 0
For zero vector:
au=bu=0
holds for a=3, b=4
False
