1.

Let be the set of all pairs (, ) of real numbers and let be the field of realnumbers. Define (1, 1) + (2, 2) = (1, 1) and (1, 1) = ( 1, 1) ∀ (1, 1), (2, 2) ∈ and ∈ Examine with these operations whether is a vector space over the field of real numbers or not? ​

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