Determine the value of c so that the plane with equation 2x + 3y + cz – 8 = 0 is parallel to 6. (а) the line with symmetric equation "1 = 2 = z +1. (b) Hence determine the distance from the point (1, 2, –1) to this plane. (c) Find the angle the plane makes with another plane whose equation is 3x – 2y = 0.

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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6

6. (а)
Determine the value of c so that the plane with equation 2x + 3y + cz – 8 = 0 is parallel to
the line with symmetric equation = 2 = z +1.
(b)
Hence determine the distance from the point (1, 2, –1) to this plane.
(c)
Find the angle the plane makes with another plane whose equation is 3x – 2y = 0.
Transcribed Image Text:6. (а) Determine the value of c so that the plane with equation 2x + 3y + cz – 8 = 0 is parallel to the line with symmetric equation = 2 = z +1. (b) Hence determine the distance from the point (1, 2, –1) to this plane. (c) Find the angle the plane makes with another plane whose equation is 3x – 2y = 0.
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