Question: Suppose you take two steps A and B (that is, two nonzero displacements). Under what circumstances can you end up at your starting point? More

Suppose you take two steps A and B (that is, two nonzero displacements). Under what circumstances can you end up at your starting point? More generally, under what circumstances can two nonzero vectors add to give zero? Is the maximum distance you can end up from the starting point A+B the sum of the lengths of the two steps?

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