Problem

Find an equation of the plane. The plane that …

04:14

Problem 29 Easy Difficulty

Find an equation of the plane.

The plane through the point $ (1, \frac{1}{2}, \frac{1}{3}) $ and parallel to the plane $ x + y + z = 0 $

Answer

$6 x+6 y+6 z=11$

Discussion

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Video Transcript

Hello. So the ocean is taken from vectors and geometry of the space. And uh we have to find the equation of plane which passes to the 0.11 by two and one by three. And paddle to the plain. X plus Y. Plus that is equal to zero. So equation bulls clean passing to 1 1 x two and 1 x three. And yes Caroline. Mhm. To the plane X. Plus Why? Plant that is equal to zero. Can be. Have you done is okay? Yeah. Mhm. Taking X plus Y. Plus zero plus. Lambda is equal to zero. Substituting the value of experience that we get one plus one by two plus one by three is equal to minus of salamander. Celinda will be so that will be 3 to 6. So six plus three plus 2/6 of -10 Lame. That will be equal to minus 11 by six. Substituting this value in equation one we get six X. By taking the calcium of you can see by ghost multiplication plus six five plus six dead is equal to 11. Which is the required equation of plain. They're passing to 11 by 21 by three. And it's no uh pallor to the plane explains why because they're difficult. So hope this clears your doubt and thank you

Urvashi A.

IIT(BHU), Varanasi

Topics

Vectors

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 5

Equations of Lines and Planes

Problem

Find an equation of the plane. The plane that …

Problem 29 Easy Difficulty

Find an equation of the plane.

The plane through the point $ (1, \frac{1}{2}, \frac{1}{3}) $ and parallel to the plane $ x + y + z = 0 $

Answer

$6 x+6 y+6 z=11$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 3 Educators

Anna Marie V.

Caleb E.

Michael J.

Joseph L.

Calculus 3 Bootcamp

Vectors Intro

Vector Basics - Example 1

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Watch More Solved Questions in Chapter 12

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 3 Educators

Anna Marie V.

Caleb E.

Michael J.

Joseph L.

Calculus 3 Bootcamp

Vectors Intro

Vector Basics - Example 1

Recommended Videos

Problem

Find an equation of the plane. The plane that …

Problem 29 Easy Difficulty

Find an equation of the plane. The plane through the point $ (1, \frac{1}{2}, \frac{1}{3}) $ and parallel to the plane $ x + y + z = 0 $

Answer

$6 x+6 y+6 z=11$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 3 Educators

Anna Marie V.

Caleb E.

Michael J.

Joseph L.

Calculus 3 Bootcamp

Vectors Intro

Vector Basics - Example 1

Recommended Videos

Watch More Solved Questions in Chapter 12

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 3 Educators

Anna Marie V.

Caleb E.

Michael J.

Joseph L.

Calculus 3 Bootcamp

Vectors Intro

Vector Basics - Example 1

Recommended Videos

Find an equation of the plane.

The plane through the point $ (1, \frac{1}{2}, \frac{1}{3}) $ and parallel to the plane $ x + y + z = 0 $