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Two vectors are equal only if

  • A.their magnitudes are the same, direction being immaterial
  • B.their dot product equals the product of their magnitudes
  • C.they originate from the same point in space
  • D.their magnitudes and directions are both the same

Answer: D

Correct answer: their magnitudes and directions are both the same

A vector is specified by magnitude and direction and by nothing else, so equality requires both. In particular it does not require a common point of application: a free vector may be translated anywhere without becoming a different vector.

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