Determine whether the following set with the standard operations, is a vector space. If it is not, then determine the set of axioms that it fails. {(x, x,x): x is a real number) a) This set is a vector space. All ten vector space axioms hold. b) This set is not a vector space. It fails the following axioms. Scalaridentity Associative property Distributive property Additive identity c) This set is not a vector space. It fails the following axioms. Commutative property Additive identity Distributive property d) This set is not a vector space. It fails the following axioms. Additive identity Additive inverse Associative property Scalaridentity

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