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Lines and Planes in Three Dimensions

Part 3: Summary

In this module, we studied ways of representing and analyzing lines and planes in three dimensional space. You should be able to answer the following questions after completing these sections.

  1. What are the similarities between the way lines in the plane are parametrized and the way lines in space are parametrized? What are the differences?

  2. How is the dot product used to define a plane in space?

  3. Find the plane orthogonal to the vector n = (2,0,-4).

  4. Find the line in space parallel to the vector v = (1,0,1) passing through the point (1,2,3).

  5. Explain how two points in space determine a line as well as a vector and a point.

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