TRUE or FALSE 1. The set R³, with the vector addition operation defined by (a1, a2, as) (b₁,b2, bz) = (a₁ + b₁ + 5, a2 + b₂ −7, a3 + b3 + 1) defined by and scalar multiplication co (a1, a2, a3) = (ca₁ +5(e-1), ca2-7(c-1), ca3 +c-1). 2. The set of vectors {(a,b) € R²} with scalar multiplication defined by k(a, b) = (ka, 0) is a vector space. 000 a basis for R³? a. Yes, because it spans R3 b. No, because it does not span R3. c. Yes, because it is linearly independent. d. No, because it is not linearly independent. Choose the correct answer: 3. Is