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Consider the line that contains the point (2, -3, 5) and that has the direction vector (1, 2, 4). a) Write the point form of the line. b) Determine the point at which the line in part (a) intersects the plane 2x - y + 5z = -8.

Consider the line that contains the point (2, -3, 5) and that has the direction vector (1, 2, 4). a) Write the point form of the line. b) Determine the point at which the line in part (a) intersects the plane 2x - y + 5z = -8.

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Consider the line that contains the point (2, -3, 5) and that has the direction vector (1, 2, 4). a) Write the point form of the line. b) Determine the point at which the line in part (a) intersects the plane 2x - y + 5z = -8.
Transcribed Image Text:Consider the line that contains the point (2, -3, 5) and that has the direction vector (1, 2, 4). a) Write the point form of the line. b) Determine the point at which the line in part (a) intersects the plane 2x - y + 5z = -8.
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