True or false? in exercises 49 and 50, determine whether each statement is true or false. if a statement is true, give a reason or cite an appropriate statement from the text. if a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text. 49. (a) a vector space consists of four entities: a set of vectors, a set of scalars, and two operations. (b) the set of all integers with the standard operations is a vector space. (c) the set of all ordered triples (x, y, z) of real numbers, where y ≥ 0, with the standard operations on r3 is a vector space.