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My answer is (0,1,-2). But it is incorrect.

Correct answer is [0,7-6]

MY steps:
AB=[0+0,-3+4,2-4}

A to B is: B-A
B(0, 4,-4)
-A(0,-3,2)
-----------
<0,7,-6>

a vector is distance AND direction; that is determined by last - first