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).

According to question, Given equation of plane, 2x+3y+4z=9.

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).

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 13AEXP

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Question

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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