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Divergence of the three-dimensional radial vector field r is

1. 3
2. 1/r
3. i + j + k
4. 3(i + j + k)

Correct answer: 3

Solution

The divergence of a radial vector field in three dimensions is calculated using the formula for divergence in spherical coordinates, which results in a constant value of 3 for the radial vector field, indicating that the field is expanding uniformly in all directions.

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