Which of the following planes are parallel to the plane x-3y - 4= = 1? (i) 3x-9y- 12 - 1 (ii) -x + 3y + 4z = 1 (iii) -x + 3y + 4z = -1 A) (i) and (ii) only (B) (ii) only (C) (i) only (D) all of them (E) none of them (F) (iii) only G) (ii) and (iii) only (H) (i) and (iii) only

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 15AEXP
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Problem #1: Which of the following planes are parallel to the plane x-3y- 4= = 1?
(i) 3x-9y- 12 - 1
(ii) -x + 3y + 4z = 1
(iii) -x + 3y + 4:
= -1
(A) (i) and (ii) only
(G) (ii) and (iii) only
(B) (ii) only (C) (i) only (D) all of them (E) none of them (F) (iii) only
(H) (i) and (iii) only
Transcribed Image Text:Problem #1: Which of the following planes are parallel to the plane x-3y- 4= = 1? (i) 3x-9y- 12 - 1 (ii) -x + 3y + 4z = 1 (iii) -x + 3y + 4: = -1 (A) (i) and (ii) only (G) (ii) and (iii) only (B) (ii) only (C) (i) only (D) all of them (E) none of them (F) (iii) only (H) (i) and (iii) only
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