Show that R+(set of all positive real numbers) is a vector space over to the operation addition and scalar multiplication defined as i. u+v=u.v, forall u,v in R- ii. alpha v=u alpha, forall u. .v in R+ AaEF
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Since all eight rules are satisfied the set of positive real numbers is a vector space under the vector addition and scalar multiplication operations defined above, with 1 as the zero vector.
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