Consider the line L1 : ¤ = 3t, y =1+t, z=4+ 5t, and the plane II1 : -3x + y – 2z= 9. a) Find the general equation of a plane II that is perpendicular to Lı and contains the origin. b) Find the symmetric equation of a line L parallel to the plane II1 and perpendicular to the line L1 and passing through the point (1, 2, 3).
Consider the line L1 : ¤ = 3t, y =1+t, z=4+ 5t, and the plane II1 : -3x + y – 2z= 9. a) Find the general equation of a plane II that is perpendicular to Lı and contains the origin. b) Find the symmetric equation of a line L parallel to the plane II1 and perpendicular to the line L1 and passing through the point (1, 2, 3).
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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Transcribed Image Text:Consider the line
L1 : ¤ = 3t, y =1+t, z=4+ 5t,
and the plane
II1 : -3x + y – 2z= 9.
a)
Find the general equation of a plane II that is perpendicular to Lı and contains the
origin.
b)
Find the symmetric equation of a line L parallel to the plane II1 and perpendicular to
the line L1 and passing through the point (1, 2, 3).
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