1. Consider the operation e on R³ defined by (a1, a2, a3) O (b1, b2, b3) := (a1 + b1 + 2 · b2, a2 + b3, a3 – b2). Determine (with an agrument) whether this operation is: (a) associa- tive; (b) commutative; (c) satisfies the “zero" axiom for a vector space; (d) satisfies the "additive inverse" axiom for a vector space.

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