# Lines & Planes in 3D-Space: Definition, Formula & Examples

Instructions:

question 1 of 3

### Determine the vector equation of a line that passes through the points A (2 , -3 , 4) and B (5 , 2 , -1)

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### 2. Determine the equation of the line which contains the point P (2,3) and is parallel to the vector v = (3,1).

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In this quiz and worksheet combo, you are looking at the use of lines and planes in 3-space. Questions ask you to determine a vector equation of a line passing through a pair of points, along with the elements needed to determine a plane.

## Quiz and Worksheet Goals

The questions in this quiz are designed to check your knowledge of the following ideas:

• Finding the equation of a plane containing three points
• Determining the equation of a line containing a point and a parallel vector
• Finding an equation for a plane containing a point and a perpendicular vector
• How to determine a plane

## Skills Practiced

• Knowledge application - use what you know to answer questions about finding a vector
• Information recall - remember what you have learned about finding parallel and perpendicular planes
• Defining key concepts - ensure that you can name what is needed to determine a plane