Question: Let V denote the set of ordered triples (x, y, z) and define addition in V in R3. For each of the following definitions of

Let V denote the set of ordered triples (x, y, z) and define addition in V in R3. For each of the following definitions of scalar multiplication, decide whether V is a vector space.
(a) a(x, y, z) = (ax, 0, az)
(b) a(x, y, z) = (2ax, 2ay, 2az)

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