Lines in 3D - Concept

Concept Concept (1)

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.

Sample Sample Problems (3)

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Lines in 3D - Problem 1
Problem 1
How to find the vector equation, the parametric equations, and the symmetric equation of a line given two points on the line.
Lines in 3D - Problem 2
Problem 2
How to find the vector equation of a line parallel to a given line L that passes through a given point not on L.
Lines in 3D - Problem 3
Problem 3
How to find the point where a line passes through the xy-plane given the vector equation of the line.
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