Question
Which of the sets given below may represent the magnitudes of three vectors adding to zero?
  1. 2, 4, 8
  2. 4, 8, 16
  3. 1, 2, 1
  4. 0.5, 1, 2

Answer

  1. 1, 2, 1

Explanation:

1, 2 and 1 may represent the magnitudes of three vectors adding to zero. For example one of the vector of length 1 should make an angle of 135° with x-axis and the other vector of length 1 makes an angle of 225° with x-axis. The third vector of length 2 should lie along x-axis.

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