Suppose twelve vectors start from 6:00 at the bottom instead of (0,0) at the center. The vector to 12:00 is doubled to (0,2). Add the new twelve vectors. (See picture)
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Every vector cancels out every other vector except (0,2) and (0,-1) and those just sum to (0,1).
For the sums in this picture yes, but the question modifies the clock and asks a question about the modified clock. The answer is (0,12).
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I see--I wasn't understanding what was meant by "Suppose twelve vectors start from 6:00 at the bottom instead of (0,0) at the center." In fact, I'm still not completely sure I know what you mean by that, but I'm guessing you no longer need an explanation anyway.