The correct answer to the question is "solenoidal."

Explanation:

• A vector field $A$ is called solenoidal if its divergence is zero, i.e., $\nabla \cdot A = 0$. This means that there is no net "source" or "sink" for the field, often associated with incompressible flow in fluid dynamics.

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Here are 5 related questions to consider:

1. What is the physical interpretation of a solenoidal vector field?
2. How does the solenoidal property relate to magnetic fields in electromagnetism?
3. What is the mathematical expression for the divergence of a vector field?
4. What is the difference between solenoidal and irrotational vector fields?
5. Can a vector field be both solenoidal and irrotational? Under what conditions?

Tip: To check if a vector field is solenoidal, always compute its divergence. If it's zero, the field is solenoidal.