Prove that the planes (i) 12x – 15y + 16z – 28 = 0, (ii) 6x + 6y – 7z –8 = 0, and (üi) 2x + 35y - 39z + 92 = 0, have a common line of intersection. Prove that the point in %3D which the line 3 e-1 y z- 3 meets the third plane is %3D 1 | equidistant from other two planes.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 35E
icon
Related questions
Question
100%
Prove that the planes
(i) 12x - 15y + 16z – 28 = 0, (ii) 6x + 6y - 7z - 8 = 0,
and (iii) 2x + 35y – 39z + 92 = 0,
have a common line of intersection. Prove that the point in
x-1y
2-3
meets the third plane is
1
which the line
- 2
equidistant from other two planes.
Transcribed Image Text:Prove that the planes (i) 12x - 15y + 16z – 28 = 0, (ii) 6x + 6y - 7z - 8 = 0, and (iii) 2x + 35y – 39z + 92 = 0, have a common line of intersection. Prove that the point in x-1y 2-3 meets the third plane is 1 which the line - 2 equidistant from other two planes.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning