Question: Solve the problem... Determine whether the following set is a real vector space (and select what fails if it is not). The set of all

Solve the problem...

Determine whether the following set is a real vector space (and select what fails if it is not). The set of all rational numbers Closure under Addition Closure under Scalar Multiplication Commutativity of Addition Associativity of Addition Existence of Zero Vector Existence of Additive Inverses Multiplicative Identity Associativity of Scalar Multiplication Distributivity over Vector Addition DDDDDDDDDD Distributivity over Scalar Addition C] The set is a real vector space

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