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The sum of the squares of the direction cosines of any vector is

  • A.0
  • B.3
  • C.equal to the magnitude of the vector concerned
  • D.1

Answer: D

The direction cosines are the components of the unit vector along the given direction, and a unit vector has magnitude one, so the sum of the squares of its components is one. This is a useful check on any set of direction cosines computed.

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