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A weird vector space. Consider the set R+ = {x ER : x > 0} = V. We define addition by x y = xy, the product of x and y. We us

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Geiven that and NOW and V = nRT= {xeira EIR: a) ayo} define addition by x@q=xy and the multipuication соң ауа We proof (Vot)x, y € IRT ( 11 ) Scalar Multiplication: Let xflrt and CEIR Then yola ac FIRT ey For XEIRA and cfIR , XC FIRT a) iRt is close

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