Question: Determine whether the set is a vector space. If it is not, identify and check all the vector space axioms that fail. R3 with the

Determine whether the set is a vector space. If it is not, identify and check all the vector space axioms that fail. R3 with the standard definition of scalar multiplication and the nonstandard definition of addition (x1 , y1, z1) + (X2, y2, Z2) = (X1+ X2+1 , y1+ y2 +1, 21 + 22 +1)

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