The divergence of the vector field A = x aₓ + y a_y + z a_z is

Correct answer: 3

Solution

The divergence of a vector field measures the rate at which 'stuff' expands from a point. For the vector field A = x aₓ + y a_y + z a_z, the divergence is calculated as the sum of the partial derivatives of its components, which results in 3, indicating that the field is expanding uniformly in three-dimensional space.

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