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24. [-/1 Points] DETAILS HOLTLINALG2 7.1.012. MY NOTES ASK YOUR TEACHER A set V is given, together with definitions of addition and scalar multiplication. Determine which properties of a vector space are satisfied. (Select all that apply.) V is the set of vectors in R with the following definitions of addition and scalar multiplication: Addition: a 1 + by = [ b , + 1 2 Scalar multiplication: c $1 - [ 8, ]- Property 1: If v, and v2 are in V, then so is V1 + V2. Property 2: If c is a real scalar and v is in V, then so is cv. 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 -v in V such that v + (-v) = 0 for all v in V. Property 5(a): For all v, and v2 in V, we have v1 + V2 = V2 + V1. O Property 5(b): For all V1, V2, and V3 in V, we have (V1 + V2) + V3 = V1 + (V2 + V3). O Property 5(c): For all v, and v2 in V and real scalars c1, we have c, (V, + V2) = CIV, + CIV2. Property 5(d): For all v, in V and real scalars c, and C2, we have (C1 + C2)V1 = CIV, + C2V1 Property 5(e): For all v, in V and real scalars c, and C2, we have (C12)V1 = 1(C2V1). Property 5(f): For all v, in V, we have 1 . V1 = V1. O none of these