Product set/Geometrical examples/2/Exercise

Describe for any choice of two of the following geometric sets its product set (including the case where a set is taken twice).

1. A line segment ${}I$.
2. A circle (circumference) ${}K$.
3. A disk ${}D$.
4. A parabola ${}P$.

Which of these product sets can be realized within space, which can't?

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