9. (a) Find an equation of the plane passing through these three points: (1,0, 1), (-1, 2, -3), and (2,0, -1). (b) Find the line of intersection between the plane 2x+4y+2z = 5 and the plane - 2x+3y-4z = 24. (Hint: for a point to be in the intersection, it must be on both planes.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.CT: Test
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9. (a) Find an equation of the plane passing through these three points: (1,0,1), (−1, 2, –3), and
(2,0, -1).
(b) Find the line of intersection between the plane 2x+4y+2z = 5 and the plane -2x+3y-4z = 24.
(Hint: for a point to be in the intersection, it must be on both planes.)
Transcribed Image Text:9. (a) Find an equation of the plane passing through these three points: (1,0,1), (−1, 2, –3), and (2,0, -1). (b) Find the line of intersection between the plane 2x+4y+2z = 5 and the plane -2x+3y-4z = 24. (Hint: for a point to be in the intersection, it must be on both planes.)
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