Step 1: Understanding the question.
The question asks to identify which crystallographic statements are incorrect, based on Miller indices and crystallographic zones.
Step 2: Analyzing the options.
(A) (110) lies in zone [001]: Incorrect — The plane (110) does not lie in zone [001], which is a non-matching crystallographic relationship.
(B) (021) lies in zone [100]: Correct — (021) is a plane that lies in the [100] zone.
(C) (101) lies in zone [010]: Correct — (101) lies in the [010] zone as per crystallographic conventions.
(D) (111) lies in zone [111]: Correct — (111) is indeed in zone [111], as per the Miller indices and the crystallographic planes.
Step 3: Conclusion.
The correct answer is (A) (110) lies in zone [001], as this statement is not correct.