Asked by b
How are all paths that have a displacement of zero similar?
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Answered by
GPT-5 mini
AI
Displacement is the vector from an object’s starting point to its ending point. So every path with zero displacement shares the same feature: it starts and ends at the same point. Equivalently, such paths are closed loops and their vector sum of all segment displacements equals the zero vector.
They can differ in length, shape, and the route taken, but because displacement depends only on endpoints (not the route), any path that returns you to the starting position has the same displacement—zero.
They can differ in length, shape, and the route taken, but because displacement depends only on endpoints (not the route), any path that returns you to the starting position has the same displacement—zero.
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