If the acceleration vector of an object is zero, its velocity vector

(A) is also zero.
(B) can turn but cannot change in length.
(C) can change length but cannot turn.
(D) is not changing.

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If the acceleration vector of an object is zero, its velocity vector

(A) is also zero.

No.
Only if it starts out zero.
Try again.

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If the acceleration vector of an object is zero, its velocity vector

(B) can turn but cannot change in length.

No. That would hold for circular motion
    acceleration not zero!
Try again.

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If the acceleration vector of an object is zero, its velocity vector

(C) can change length but cannot turn.

No.     That's linear motion
and it can have acceleration.
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If the acceleration vector of an object is zero, its velocity vector

(D) is not changing.

Yes.
It's rate of change is zero.
Check the other answers.

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