Determine whether the set equipped with the given operations is a vector space.For those that are not vector spaces identify the vector space axioms that fail.The set of all pairs of real numbers of the form (x,0) with the standard operations on R.O Vis a vector space.O Vis not a vector space, and Axiom 7,8, 9 fails to hold.O Vis not a vector space, and Axioms 4 and 5 fail to hold.O Vis not a vector space, and Axioms 2 and 3 fail to hold.O Vis not a vector space, and Axiom 10 fails to hold. Question 3 of 10>View PoliciesCurrent Attempt in ProgressDetermine whether the set equipped with the given operations is a vector space.For those that are not vector spaces identify the vector space axioms that fail.The set of all real numbers x with the standard operations of addition and multiplication.O Vis not a vector space, and Axioms 7,8, 9 fail to hold.O Vis not a vector space, and Axiom 6 fails to hold.O vis a vector space.O Vis not a vector space, and Axiom 10 fails to hold.O Vis not a vector space, and Axioms 6 - 10 fail to hold.

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Determine whether the set equipped with the given operations is a vector space. For those that are not vector spaces identify the vector space axioms that fail. The set of all pairs of real numbers of the form (x,0) with the standard operations on R. O Vis a vector space. O Vis not a vector space, and Axiom 7, 8, 9 fails to hold. O Vis not a vector space, and Axioms 4 and 5 fail to hold. O Vis not a vector space, and Axioms 2 and 3 fail to hold. O Vis not a vector space, and Axiom 10 fails to hold.