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3. Suppose that a plane has equation 2x + 3y + 4z = 9. (a) Find two points on the plane with integer coordinates. in (a). (b) Find the parametric form of the line between the two points you gave (c) Show that the line you gave in (b) is orthogonal to the vector (2, 3, 4).

3. Suppose that a plane has equation 2x + 3y + 4z = 9. (a) Find two points on the plane with integer coordinates. in (a). (b) Find the parametric form of the line between the two points you gave (c) Show that the line you gave in (b) is orthogonal to the vector (2, 3, 4).

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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3. Suppose that a plane has equation 2x + 3y + 4z = 9. (a) Find two points on the plane with integer coordinates. (b) Find the parametric form of the line between the two points you gave in (a). (c) Show that the line you gave in (b) is orthogonal to the vector (2, 3, 4).
Transcribed Image Text:3. Suppose that a plane has equation 2x + 3y + 4z = 9. (a) Find two points on the plane with integer coordinates. (b) Find the parametric form of the line between the two points you gave in (a). (c) Show that the line you gave in (b) is orthogonal to the vector (2, 3, 4).
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