Is there anything 'below' Earth in space?

Earth and its neighbors orbit the sun on a relatively flat plane. But what's below this plane, and is anythign below the Earth?

Digital illustration of our solar system.
Our solar system is mostly arranged along one plane in space, as in this not-to-scale artist’s diagram. 
(Image credit:  NASA/JPLCC BY)

If you've seen illustrations or models of the solar system, maybe you noticed that all the planets orbit the Sun in more or less the same plane, traveling in the same direction.

But what is above and below that plane? And why are the planets' orbits aligned like this, in a flat pancake, rather than each one traveling in a completely different plane?

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Jeff Moersch
Professor of Earth, Environmental, and Planetary Sciences, University of Tennessee

Jeff Moersch has a Bachelor’s degree in Physics (Cornell) and a Master’s in Geology (Arizona State University), a Master’s in Astronomy (Cornell), and a Ph.D. in Astronomy (Cornell). After grad school, Moersch worked for two and a half years in the Exobiology Branch at NASA Ames Research Center as a Resident Research Associate of the National Research Council. In June, 2000, Moersch moved to a research faculty position in the (then) Department of Geological Sciences at U.T. Moersch appointment as Assistant Professor in the Department of Earth and Planetary Sciences at U.T. began in August, 2003.

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