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Consider the following: a. Write an equation of a plane in Cartesian form that contains the point P(2, 4, 1) and is parallel to the line r = (7, 3, − 2) + t(1, − 1, 5). b. Write the equation of a line that passes through the point P(2, — 4, 1) but does not lie on the plane you calculated above.

Consider the following: a. Write an equation of a plane in Cartesian form that contains the point P(2, 4, 1) and is parallel to the line r = (7, 3, − 2) + t(1, − 1, 5). b. Write the equation of a line that passes through the point P(2, — 4, 1) but does not lie on the plane you calculated above.

Elementary Geometry For College Students, 7e
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
Problem 22CT
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11. Consider the following: a. Write an equation of a plane in Cartesian form that contains the point P(2, — 4, 1) and is parallel to the line r = (7, 3, − 2) + t(1, — 1, 5). b. Write the equation of a line that passes through the point P(2, — 4, 1) but does not lie on the plane you calculated above.
Transcribed Image Text:11. Consider the following: a. Write an equation of a plane in Cartesian form that contains the point P(2, — 4, 1) and is parallel to the line r = (7, 3, − 2) + t(1, — 1, 5). b. Write the equation of a line that passes through the point P(2, — 4, 1) but does not lie on the plane you calculated above.
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