Identifying Lines in Space


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question 1 of 3

Determine the vector equation of the line passing through the point A (3, -4 , 7) and with direction vector d = ( 2 , 3 , 9)

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1. Determine the parametric equation of the line passing through the point A (5, 7 , -3) and with direction vector d = ( 3 , 2 , 5)

2. Determine the vector equation of the line passing through the points A (3, -1 , 4) and B ( 2 , 4 , 5)

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About This Quiz and Worksheet

Inside this quiz and worksheet combo, you can evaluate what you know about the identification of lines in space. Questions focus on determining the equations of a line passing through a given point or points. You'll also need to know about lines defined for plane intersection.

Quiz and Worksheet Goals

You can find the following topics in the quiz questions to check your understanding of the material:

  • Finding the vector equation of a line passing through given points
  • Determining a parametric equation of a line
  • An equation for a line defined for the intersection of planes
  • Finding two points of a line and its direction vector

Skills Practiced

  • Problem solving - utilize your skills to solve practice problems involving parametric equations
  • Information recall - remember what you have learned about intersecting planes
  • Knowledge application - use what you know to answer questions about direction vectors

Additional Learning

To discover more, go to the lesson titled Identifying Lines in Space. With it, you can view the other material listed here:

  • Continuous/symmetric equations
  • The implicit equation of a line
  • Additional practice problems