let A be a set. A:=(a1,a2,a3) in R^3 such that a1 is greater than 0 but less than and equals to 1, a2 is greater than 0 but less and equals to 2, a3 is greater than 1 but less than and equals to 3. To show A is a bounded subset of R^3. and find the diameter of set A. and if the saying is correct"there exist vectors a,b in A, ‖a-b‖=diameter of set A. please Justify

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