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Determine whether the set with the definition of addition of vectors and scalar multiplication is a...

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Advance Math

Determine whether the set with the definition of addition ofvectors and scalar multiplication is a vector space. If it is,demonstrate algebraically that it satisfies the 8 vector axioms. Ifit's not, identify and show algebraically every axioms which isviolated. Assume the usual addition and scalar multiplication ifit's not defined. V = { (x1, x2, x3) ? R^3 | x1 > or equal to 0,x2 > or equal to 0, x3 > or equal to 0}

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