Indicate whether the statement is true or false. 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

Indicate whether the statement is true or false. 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

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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Question

Indicate whether the statement is true or false.
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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