Determine which properties of a vector space are met by the set Q2 of polynomials with real coefficients that have degree equal to 2, together with the usual definition of addition and scalar multiplication for polynomials. (Select all that apply.) Property 1: If vi and v2 are in V, then so is v v2
Property 2: If c is a real scalar and v is in V, then so is c .
Property 3: There exists a zero vector 0 in V such that 0 + v = v for all v in V.
Property 4: Property 3 holds and for each v in V there exists an additive inverse vector-win v such that v + (-v) = 0 for all v in v.
Property 5(a): For all v1 and v2 in V, we have v1 + v2-v2 + v1- 1x1
Property 5(b): For all vi, v2, and v3 in V, we have (vi + V2) + v3 = vi + (v2+ v3)
Property 5(c): For all vi and v2 in V and real scalars c1, wehave cv+ v2) -c1vv2 ld
Property 5(d): For all v1 in Vand real scalars c1 and c2, we have (c1 + c2)V1 = c1 v1 + c2y.
Property 5(e): For all v1 in V and real scalars c1 and c2, we have (c1c2)v1 = c1(c2v1)
Property 5(f): For all VI in V, we have 1-vi-vi. none of these Submit Answer Save Progress