Suppose that T={(I)ER2:$U and yg}. 3" Dene addition of vectors and scalar multiplication in the usual vlrailrr as in R2. Which of the following 1i] properties of a vector space are satised by T 'E' 1. Closure under Addition. |f11,v E T , then u + v E T . 2. Associative Law of Addition. If 111v, W E T , then [u + v) + w = v i [u + w}. 3. Commutative Law of Addion. If u, v E T , then u + v = v + u. 4. Existence of Zero. There exists an element D E T such that, for all v E T , v i [l = v 5. Existence of Negative. For each v E T there exists an element w {usuallyr denoted v )such thatv + w = I]. s Closure under Mulplication by a Scalar. lfv E T and A E R , then Av E T. r. Associative Law of Multiplication by a Scalar. If A, ,u E IR and v E T , then MW) = [Au]?- 3. Scalar Multiplication Identity. lfv E V , then 1v 2 v. s. Scalar Dis1rihutive Law. If Aha. E IR and v E T , then (A + adv 2 Av | pv. 1d. l..~"en::tor Distributive Law. If}. E R and u,v E T, then Mu + v) 2 Au | Av. Enter your answer as a subset of {1 ,2,3,...,1}