Suppose (x₁, x₂) + (y₁, y2) in R² is defined to be (x₁+Y2, X2+y₁). With the us multiplication cx = (cx1, Cx2), is R2 a vector space? If not, which of the vec space axioms are not satisfied? Consider P2 (R), the vector-space of all polynomials with degree at most 2 w real coefficients. Determine if the set of all polynomials of the form p(t) = a + where a is in R, is subspace of P2. Justify your answer.