Problem

Find an equation of the plane. The plane throu…

01:43

Problem 27 Easy Difficulty

Find an equation of the plane.

The plane through the point $ (1, -1, -1) $ and parallel to the plane $ 5x - y - z = 6 $

Answer

$5 x-y-z=7$

Discussion

You must be signed in to discuss.

Top Calculus 3 Educators

Watch More Solved Questions in Chapter 12

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Problem 83

Video Transcript

So the question is taken from victor's and Director of space. And the question is find the equation of plane passing to the point, my one minus one minus one and Pegler to the plane five weeks minus by minus that is equal to six. So the plane passing to the .1 -1 -1 and these spectacular to the plane five x minus y minus Z is equal to six. Okay, so we can write that equation of plain passing to 1 -1 -1 and is feculent to the plane five weeks -8 -8 is equal to six. Can be oh you don't know us five X minus y minus zero plus. Lambda is equal to zero. We can evaluate the value of lambda by substituting the value of X, Y, Z. And x Y Z is one minus one minus one since the plane passing through this point. So that will be five plus one plus one plus lambda is equal to zero. So from here the equation of plane will be by taking λ is equal to -7. So equation of plane will be five weeks minus y minus said Is equal to seven, which is the required equation of the plane. 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