Any plane passing through (-2, 2, 2) is A(x+2) + B(y – 2)+C(z- 2) = 0 : It passes through (2, –2, –2) — 4А — 4B — 4С 3D0 .(i) It is parallel to 9x- 13y - 3z = 0 . 9A – 13B – 3C = 0 .(i) Solving Eqs.(i) and (ii), A B C 12 - 52 -36 + 12 -52 + 36 A B C -40 -24 -16 .. Required equation of plane is -40(x+2)– 24(y – 2)– 16(z – 2) = 0 →-40x – 80 – 24y + 48 – 16z + 32 = 0 = 40x + 24y + 16z = 0 → 5x+ 3y + 2z = 0
Any plane passing through (-2, 2, 2) is A(x+2) + B(y – 2)+C(z- 2) = 0 : It passes through (2, –2, –2) — 4А — 4B — 4С 3D0 .(i) It is parallel to 9x- 13y - 3z = 0 . 9A – 13B – 3C = 0 .(i) Solving Eqs.(i) and (ii), A B C 12 - 52 -36 + 12 -52 + 36 A B C -40 -24 -16 .. Required equation of plane is -40(x+2)– 24(y – 2)– 16(z – 2) = 0 →-40x – 80 – 24y + 48 – 16z + 32 = 0 = 40x + 24y + 16z = 0 → 5x+ 3y + 2z = 0
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
can please someon explain a detailed solution on how to get A,B,C (please write on a paper)
![Any plane passing through (-2, 2, 2) is A(x+2) + B(y – 2)+C(z- 2) = 0
: It passes through (2, –2, –2)
— 4А — 4B — 4С 3D0
.(i)
It is parallel to 9x- 13y - 3z = 0
. 9A – 13B – 3C = 0
.(i)
Solving Eqs.(i) and (ii),
A
B
C
12 - 52
-36 + 12
-52 + 36
A
B
C
-40
-24 -16
.. Required equation of plane is -40(x+2)– 24(y – 2)– 16(z – 2) = 0
→-40x – 80 – 24y + 48 – 16z + 32 = 0
= 40x + 24y + 16z = 0
→ 5x+ 3y + 2z = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b04fd7d-a861-42f4-9851-7c4f8f6001e0%2F3b1dec32-975c-4262-909d-1269cd8f66c0%2Fs0g4x8o_processed.png&w=3840&q=75)
Transcribed Image Text:Any plane passing through (-2, 2, 2) is A(x+2) + B(y – 2)+C(z- 2) = 0
: It passes through (2, –2, –2)
— 4А — 4B — 4С 3D0
.(i)
It is parallel to 9x- 13y - 3z = 0
. 9A – 13B – 3C = 0
.(i)
Solving Eqs.(i) and (ii),
A
B
C
12 - 52
-36 + 12
-52 + 36
A
B
C
-40
-24 -16
.. Required equation of plane is -40(x+2)– 24(y – 2)– 16(z – 2) = 0
→-40x – 80 – 24y + 48 – 16z + 32 = 0
= 40x + 24y + 16z = 0
→ 5x+ 3y + 2z = 0
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning