1 of 2

Similar to 1a)Find parametric equations of the line of the intersection of the pl (2).docx

coordinate Geometry straight line
coordinate Geometry straight lineSahilPuri14

Three dim. geometry
Three dim. geometryindu thakur

Gmat quant topic 6 co ordinate geometry solutions
Gmat quant topic 6 co ordinate geometry solutionsRushabh Vora

Three dimensional geometry
Three dimensional geometrynitishguptamaps

Chapter 12 Section 12.1 Three-Dimensional Coordinate Sys
Chapter 12 Section 12.1 Three-Dimensional Coordinate SysEstelaJeffery653

4 6 equations of lines
4 6 equations of linesgwilson8786

1603 plane sections of real and complex tori
1603 plane sections of real and complex toriDr Fereidoun Dejahang

Booklet shilov plotting-graphs
Booklet shilov plotting-graphsarantheo

Equations of graphs
Equations of graphsPalash Dey

Coordinategeometry1 1
Coordinategeometry1 1TGTMATH

Coordinategeometry1 1
Coordinategeometry1 1TGTMATH

Dynamical systems solved ex
Dynamical systems solved exMaths Tutoring

THREE DIMENSIONAL GEOMETRY
THREE DIMENSIONAL GEOMETRYUrmila Bhardwaj

February 18 2016
February 18 2016khyps13

Introduction to homography
Introduction to homographyShih-Hsiang Lin

Similar to 1a)Find parametric equations of the line of the intersection of the pl (2).docx(20)

Lecture5
Lecture5

coordinate Geometry straight line
coordinate Geometry straight line

Three dim. geometry
Three dim. geometry

Gmat quant topic 6 co ordinate geometry solutions
Gmat quant topic 6 co ordinate geometry solutions

Three dimensional geometry
Three dimensional geometry

Chapter 12 Section 12.1 Three-Dimensional Coordinate Sys
Chapter 12 Section 12.1 Three-Dimensional Coordinate Sys

4 6 equations of lines
4 6 equations of lines

1603 plane sections of real and complex tori
1603 plane sections of real and complex tori

Booklet shilov plotting-graphs
Booklet shilov plotting-graphs

Math project
Math project

Equations of graphs
Equations of graphs

Coordinategeometry1 1
Coordinategeometry1 1

Coordinategeometry1 1
Coordinategeometry1 1

10. functions
10. functions

It 05104 digsig_1
It 05104 digsig_1

Dynamical systems solved ex
Dynamical systems solved ex

Em10 fl
Em10 fl

THREE DIMENSIONAL GEOMETRY
THREE DIMENSIONAL GEOMETRY

February 18 2016
February 18 2016

Introduction to homography
Introduction to homography

More from lcarolyn

1Experimental Chemistry Data Analysis 1- How do you know when to name.docx
1Experimental Chemistry Data Analysis 1- How do you know when to name.docxlcarolyn

18) Explain why oil and water do not mix- A) Water is not able to ioni.docx
18) Explain why oil and water do not mix- A) Water is not able to ioni.docxlcarolyn

17-Calcium sulfate has a soluble form in water- formed according to-.docx
17-Calcium sulfate has a soluble form in water- formed according to-.docxlcarolyn

2- Does evolution violate the second law of thermodynamics- Why or why.docx
2- Does evolution violate the second law of thermodynamics- Why or why.docxlcarolyn

2- Create a multi - step Income Statement- Statement of Retained Earni.docx
2- Create a multi - step Income Statement- Statement of Retained Earni.docxlcarolyn

2- Compare teh payment of cash divididends- stock dividends and purcha.docx
2- Compare teh payment of cash divididends- stock dividends and purcha.docxlcarolyn

More from lcarolyn(7)

1Experimental Chemistry Data Analysis 1- How do you know when to name.docx
1Experimental Chemistry Data Analysis 1- How do you know when to name.docx

18) Explain why oil and water do not mix- A) Water is not able to ioni.docx
18) Explain why oil and water do not mix- A) Water is not able to ioni.docx

17-Calcium sulfate has a soluble form in water- formed according to-.docx
17-Calcium sulfate has a soluble form in water- formed according to-.docx

2- Does evolution violate the second law of thermodynamics- Why or why.docx
2- Does evolution violate the second law of thermodynamics- Why or why.docx

2- Create a multi - step Income Statement- Statement of Retained Earni.docx
2- Create a multi - step Income Statement- Statement of Retained Earni.docx

2- Compare teh payment of cash divididends- stock dividends and purcha.docx
2- Compare teh payment of cash divididends- stock dividends and purcha.docx

How to Uninstall a Module in Odoo 17 Using Command Line
How to Uninstall a Module in Odoo 17 Using Command LineCeline George

Satirical Depths - A Study of Gabriel Okara's Poem - 'You Laughed and Laughed...
Satirical Depths - A Study of Gabriel Okara's Poem - 'You Laughed and Laughed...HetalPathak10

Tree View Decoration Attribute in the Odoo 17
Tree View Decoration Attribute in the Odoo 17Celine George

Mythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITWQuiz Club NITW

Indexing Structures in Database Management system.pdf
Indexing Structures in Database Management system.pdfChristalin Nelson

Healthy Minds, Flourishing Lives: A Philosophical Approach to Mental Health a...
Healthy Minds, Flourishing Lives: A Philosophical Approach to Mental Health a...Osopher

Q-Factor HISPOL Quiz-6th April 2024, Quiz Club NITW
Q-Factor HISPOL Quiz-6th April 2024, Quiz Club NITWQuiz Club NITW

Decoding the Tweet _ Practical Criticism in the Age of Hashtag.pptx
Decoding the Tweet _ Practical Criticism in the Age of Hashtag.pptxDhatriParmar

MS4 level being good citizen -imperative- (1) (1).pdf
MS4 level being good citizen -imperative- (1) (1).pdfMr Bounab Samir

PART 1 - CHAPTER 1 - CELL THE FUNDAMENTAL UNIT OF LIFE
PART 1 - CHAPTER 1 - CELL THE FUNDAMENTAL UNIT OF LIFEMISSRITIMABIOLOGYEXP

ICS 2208 Lecture Slide Notes for Topic 6
ICS 2208 Lecture Slide Notes for Topic 6Vanessa Camilleri

4.11.24 Poverty and Inequality in America.pptx
4.11.24 Poverty and Inequality in America.pptxmary850239

Congestive Cardiac Failure..presentation
Congestive Cardiac Failure..presentationdeepaannamalai16

4.9.24 Social Capital and Social Exclusion.pptx
4.9.24 Social Capital and Social Exclusion.pptxmary850239

Unraveling Hypertext_ Analyzing Postmodern Elements in Literature.pptx
Unraveling Hypertext_ Analyzing Postmodern Elements in Literature.pptxDhatriParmar

Chi-Square Test Non Parametric Test Categorical Variable
Chi-Square Test Non Parametric Test Categorical Variable

How to Uninstall a Module in Odoo 17 Using Command Line
How to Uninstall a Module in Odoo 17 Using Command Line

Satirical Depths - A Study of Gabriel Okara's Poem - 'You Laughed and Laughed...
Satirical Depths - A Study of Gabriel Okara's Poem - 'You Laughed and Laughed...

Tree View Decoration Attribute in the Odoo 17
Tree View Decoration Attribute in the Odoo 17

Introduction to Research ,Need for research, Need for design of Experiments, ...
Introduction to Research ,Need for research, Need for design of Experiments, ...

Mythology Quiz-4th April 2024, Quiz Club NITW
Mythology Quiz-4th April 2024, Quiz Club NITW

Indexing Structures in Database Management system.pdf
Indexing Structures in Database Management system.pdf

Healthy Minds, Flourishing Lives: A Philosophical Approach to Mental Health a...
Healthy Minds, Flourishing Lives: A Philosophical Approach to Mental Health a...

Q-Factor HISPOL Quiz-6th April 2024, Quiz Club NITW
Q-Factor HISPOL Quiz-6th April 2024, Quiz Club NITW

Decoding the Tweet _ Practical Criticism in the Age of Hashtag.pptx
Decoding the Tweet _ Practical Criticism in the Age of Hashtag.pptx

MS4 level being good citizen -imperative- (1) (1).pdf
MS4 level being good citizen -imperative- (1) (1).pdf

PART 1 - CHAPTER 1 - CELL THE FUNDAMENTAL UNIT OF LIFE
PART 1 - CHAPTER 1 - CELL THE FUNDAMENTAL UNIT OF LIFE

ICS 2208 Lecture Slide Notes for Topic 6
ICS 2208 Lecture Slide Notes for Topic 6

4.11.24 Poverty and Inequality in America.pptx
4.11.24 Poverty and Inequality in America.pptx

Congestive Cardiac Failure..presentation
Congestive Cardiac Failure..presentation

4.9.24 Social Capital and Social Exclusion.pptx
4.9.24 Social Capital and Social Exclusion.pptx

Unraveling Hypertext_ Analyzing Postmodern Elements in Literature.pptx
Unraveling Hypertext_ Analyzing Postmodern Elements in Literature.pptx

1a)Find parametric equations of the line of the intersection of the pl (2).docx

• 1. 1a)Find parametric equations of the line of the intersection of the planes x-2yplus 7z=0 and 3xplus 5y-z=0 Solution Equation of the two planes: Plane 1: x - 2y + 7z = 0 and Plane 2: 3x + 5y - z = 0 normal vector of plane 1 is N1= (i - 2j + 7k) and of plane 2 is N2= (3i + 5j - k) let the intersection line be L and the direction vector of L be vector R ; now,since this line lies on both the planes it is perpendicular to both the normal vectors. therefore, R =N1 x N2 ..( x denotes cross product) or, R = -33i + 22j + 11k or, R = -3i + 2j + k now, we need a point which lies on this line(any point will do). that point will also lie on the two planes. we can see that (0,0,0) satisfies both the plane equations , therefore the line intersecting these 2 planes also passes through (0,0,0). parametric form of line : L = P + mR where P is a point on line L and R is the direction vector. therefore, L = m (-3i + 2j + k) , where m is a parameter. now if (Lx,Ly,Lz) is a point on this line and (Px,Py,Pz) is the another point lying on the same line.
• 2. then its co-ordinates are given as Lx = Px + m(-3) ; Ly = Py + m(2) ; Lz = pz + m(1) ; therfore, Lx = 0 - 3m or, Lx = -3m ; Ly = 0 + 2y or, Ly = 2m ; Lz = 0 + 1m or, Lz = m ;
Current LanguageEnglish
Español
Portugues
Français
Deutsche