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The divergence of \( \mathbf{A} = x\mathbf{a}_x + y\mathbf{a}_y + z\mathbf{a}_z \) is

  • A.1
  • B.\( x + y + z \)
  • C.3
  • D.0

Answer: C

Each component differentiated with respect to its own coordinate gives one, and the three add to three. The field is the position vector, which spreads out from the origin, so a positive divergence everywhere is what one would expect.

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