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1. There is only one scalar equation for a given line in 3-space. 2. A line in 3-space can be represented by using a scalar equation, a vector equation, parametric equations. 3. Three collinear points in space will define a plane.

1. There is only one scalar equation for a given line in 3-space. 2. A line in 3-space can be represented by using a scalar equation, a vector equation, parametric equations. 3. Three collinear points in space will define a plane.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. There is only one scalar equation for a given line in 3-space. 2. A line in 3-space can be represented by using a scalar equation, a vector equation, parametric equations. 3. Three collinear points in space will define a plane. 4. [0,2,1] +t[2,1,1] is parallel to the plane 2x+y+z=0 5. If the normal vectors of three planes in 3-space are coplanar then there is no solution to the system
Transcribed Image Text:1. There is only one scalar equation for a given line in 3-space. 2. A line in 3-space can be represented by using a scalar equation, a vector equation, parametric equations. 3. Three collinear points in space will define a plane. 4. [0,2,1] +t[2,1,1] is parallel to the plane 2x+y+z=0 5. If the normal vectors of three planes in 3-space are coplanar then there is no solution to the system
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