I answered the following two questions as true... a) in any vector space ax=bx implies that a = b. Where a,b are real numbers and x is a vector. b) In any vector space ax = ay implies that x = y. Where a is a real number and x and y are vectors. How can these be false? and there is one more I don't follow... c) If f and g are polynomials of degree n, then f + g is a polynomial of degree n. (I also said this was true but it seems the answer is false). If you wish to reference the conditions of vector spaces... [1-8] or simply state that a is in violation of any of these conditions it is here for reference: [URL]http://en.wikipedia.org/wiki/Vector_spaces[/URL]