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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 27E
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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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