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Lines in Three Dimensions

Videos, worksheets, games and acivities to help PreCalculus students learn about lines in the three dimensions coordinate system.

Lines in 3D :
In the 3D coordinate system, lines can be described using vector equations or parametric equations. Lines in 3D have equations similar to lines in 2D, and can be found given two points on the line. In order to understand lines in 3D, one should understand how to parameterize a line in 2D and write the vector equation of a line. Perpendicular, parallel and skew lines are important cases that arise from lines in 3D.

Parallel and Skew Lines in Space :
With the introduction of the 3D coordinate system we find the concepts of skew, perpendicular and parallel lines in space. Skew lines are new, and are lines that are not parallel, yet never intersect. Perpendicular and parallel lines in space are very similar to those in 2D and finding if lines are perpendicular or parallel in space requires an understanding of the equations of lines in 3D.

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