Let V be the set of all ordered triples of real numbers. For u =
(u1, u2, u3) and v = (v1, v2, v3), we define the following
operations of addition and scalar multiplication on V :
u + v = (u1 + v1, u2 + v2 − 1, u3 + v3 − 2) and ku = (ku1, ku2,
ku3).
For example, if u = (1, 0, 3), v = (2, 1, 1), and k = 2 then
u +...