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Determine whether each set equipped with the given operations is a vector space. (Set 1) The set of all real numbers with the standard operations

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Determine whether each set equipped with the given operations is a vector space. (Set 1) The set of all real numbers with the standard operations of addition and multiplication. (Set 2) The set of all pairs of real numbers of the form (r, 0) with the standard operations on R2. Set 3) The set of all pairs of real numbers of the form (x, y), where r 2 0, with the standard operations on R2. O A. All Sets are not vector spaces. O B. Only Set 1 and Set 2 are vector spaces. O c. All Sets are vector spaces. O D. Only Set 1 is a vector space

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