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The position vector of the point \( (1, 2, 2) \) has a magnitude of

  • A.3
  • B.5
  • C.9
  • D.2

Answer: A

Correct answer: 3

\[ |\mathbf{r}| = \sqrt{1^2+2^2+2^2} = \sqrt{9} = 3. \] The triple 1, 2, 2 is one of the small integer combinations giving an exact result, along with 2, 3, 6 and 1, 4, 8, and it is worth recognising when it appears.

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