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A man out walking his dog makes one complete pass around a perfectly square city block

Physics

A man out walking his dog makes one complete pass around a perfectly square city block. He starts at point A and walks clockwise around the block.  (Figure 1)

Let ?r? AB be the displacement vector from A to B, ?r? BC be the displacement vector from B to C, etc.

Part A

Which of the following vectors is equal to ?r? AB?

?r? BC only
?r? CD only
?r? DA only
All of the above
None of the above

Part B

Which of the following vectors is equal to ??r? AB?

?r? BC only
?r? CD only
?r? DA only
All of the above
None of the above

Part C

Which of the following vectors is equal to ?r? AB??r? DA?

?(?r? CD+?r? DA) only
?r? AB+?r? BC only
?r? BC??r? CD only
All of the above
None of the above

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