- - 9. Which of the following represents a direction vector for the plane π: 2x – 3y + 4z − 12 = 0 : a. d = (2,3,4) b. d(-2,3,4) c. d = (-3,2,3) d. d a = (2,4,-2) 10. By analyzing the normals, determine if the three planes: a. intersect in a line c. are coincident b. are parallel and distinct d. intersect at a point - П₁ x + 2y + 3z − 4 = 0 π2: 2x+4y+ 6z + 8 = 0 П3: 4x+8y + 12z − 10 = 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
Question

Pls help ASAP. Pls show all work and steps. Pls circle the final answer.

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9. Which of the following represents a direction vector for the plane π: 2x – 3y + 4z − 12 = 0 :
a. d = (2,3,4)
b. d(-2,3,4)
c. d = (-3,2,3)
d. d
a
=
(2,4,-2)
10. By analyzing the normals, determine if the three planes:
a. intersect in a line
c. are coincident
b. are parallel and distinct
d. intersect at a point
-
П₁ x + 2y + 3z − 4 = 0
π2: 2x+4y+ 6z + 8 = 0
П3: 4x+8y + 12z − 10 = 0
Transcribed Image Text:- - 9. Which of the following represents a direction vector for the plane π: 2x – 3y + 4z − 12 = 0 : a. d = (2,3,4) b. d(-2,3,4) c. d = (-3,2,3) d. d a = (2,4,-2) 10. By analyzing the normals, determine if the three planes: a. intersect in a line c. are coincident b. are parallel and distinct d. intersect at a point - П₁ x + 2y + 3z − 4 = 0 π2: 2x+4y+ 6z + 8 = 0 П3: 4x+8y + 12z − 10 = 0
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