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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 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 AWhich of the following vectors is equal to r_AB_vec?

Which of the following vectors is equal to ?

  r_BC_vec only
  r_CD_vec only
  r_DA_vec only
  All of the above
  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 ?

  r_BC_vec only
  r_CD_vec only
  r_DA_vec only
  All of the above
  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 ?
  -(\vec r_{CD}+\vec r_{DA}) only
  \vec r_{AB}+\vec r_{BC} only
  \vec r_{BC}-\vec r_{CD} only
  All of the above
  None of the above

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