Problem: 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 Below)Let  be the displacement vector from A to B,  be the displacement vector from B to C, etc.Part AWhich of the following vectors is equal to ?Which of the following vectors is equal to ?a)  onlyb)  onlyc)  onlyd) All of the abovee) None of the abovePart BWhich of the following vectors is equal to ?Which of the following vectors is equal to ?a)  onlyb)  onlyc)  onlyd) All of the abovee) None of the abovePart CWhich of the following vectors is equal to ?Which of the following vectors is equal to ?a)  onlyb)  onlyc)  onlyd) All of the abovee) None of the above

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Problem Details

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 Below)

Let r_AB_vec be the displacement vector from A to B, r_BC_vec be the displacement vector from B to C, etc.

Part A

Which of the following vectors is equal to r_AB_vec?

Which of the following vectors is equal to ?

a) r_BC_vec only

b) r_CD_vec only

c) r_DA_vec only

d) All of the above

e) None of the above

Part B

Which of the following vectors is equal to -\vec r_{AB}?

Which of the following vectors is equal to ?

a) r_BC_vec only

b) r_CD_vec only

c) r_DA_vec only

d) All of the above

e) None of the above

Part C

Which of the following vectors is equal to \vec r_{AB}-\vec r_{DA}?

Which of the following vectors is equal to ?

a) -(\vec r_{CD}+\vec r_{DA}) only

b) \vec r_{AB}+\vec r_{BC} only

c) \vec r_{BC}-\vec r_{CD} only

d) All of the above

e) None of the above

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