Define' a vector to contain 2 components: (a,b) where a a rational number, b is an irrational number. Let S? be a set that contains such vectors, ie. S*={ (a,b)| for all rational numbers a, irrational numbers b}. For example, (3.14,71) is in S², but (e,71) is not in S² – 1 & e are well known math constants. Is S a vector space over the integers?

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A: Topic:-  vector algebra

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A: Explanation of the answer is as follows

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