e. The plane through Po(2, 4, 5) perpendicular to the line x = 5+ t, y = 1 + 31, z = 4t

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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e. The plane through Po(2, 4, 5) perpendicular to the line x = 5 + t, y = 1
+ 3t, z = 4t
f. The plane through A(1, -2, 1) perpendicular to the vector from the
origin to A
g. Find the point of intersection of the lines x = 2t + 1, y = 3t + 2, z =
4t + 3, and x = s + 2, y = 2s + 4, z = -4s - 1, and then find the plane
determined by these lines.
h. Find the point of intersection of the lines x = t, y = -t + 2, z=t+1,
and x = 2s + 2, y =s+3, z = 5s + 6, and then find the plane determined
by these lines.
Transcribed Image Text:e. The plane through Po(2, 4, 5) perpendicular to the line x = 5 + t, y = 1 + 3t, z = 4t f. The plane through A(1, -2, 1) perpendicular to the vector from the origin to A g. Find the point of intersection of the lines x = 2t + 1, y = 3t + 2, z = 4t + 3, and x = s + 2, y = 2s + 4, z = -4s - 1, and then find the plane determined by these lines. h. Find the point of intersection of the lines x = t, y = -t + 2, z=t+1, and x = 2s + 2, y =s+3, z = 5s + 6, and then find the plane determined by these lines.
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