Determine whether the given set is a vector space with respect to the specified addition and scalar multiplica- tion. Justify your answer. 1. Let R+ be the set of all positive real numbers. The addition and scalar multiplication on R+ are defined as follows: 1. Addition: For a, b = R¹, a + b = ab 2. Scalar multiplication: For a € R¹ and c = R, coa = a*. 2. Let R² be the set of all order pairs of real numbers. The addition and scalar multiplication on R² are defined as follows: 1. Addition: For u, v € R², u@v=u+v (i.e., the usual addition in R²) 2. Scalar multiplication: For u € R² and c ER, co u = u.

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