3. Consider the plane TT: 4x + 3y - 2z + 12 = 0. What is the relationship of the plane to each of the following lines? a) L1: = <-3, 0, 0> + t<0, 2, 3>, teR. b) L2 = <1, 0, -2> + t<1, -2, 0>, t E R. c) L3 = <1, 0, 2>, t e R

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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3. Consider the plane TT: 4x + 3y 2z + 12 = 0. What is the relationship of the plane to each of
the following lines?
a) L1: <x, y, z> = <-3, 0, 0> + t<0, 2, 3>, teR
b) L2 <x y, z> = <1, 0, -2> + t<1, -2, 0>, t E R.
c) L3 <x, y, z> - t<1, 0, 2>, t E R.
Transcribed Image Text:3. Consider the plane TT: 4x + 3y 2z + 12 = 0. What is the relationship of the plane to each of the following lines? a) L1: <x, y, z> = <-3, 0, 0> + t<0, 2, 3>, teR b) L2 <x y, z> = <1, 0, -2> + t<1, -2, 0>, t E R. c) L3 <x, y, z> - t<1, 0, 2>, t E R.
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