Homework Help is Here – Start Your Trial Now!
Math
Algebra
l₁ : (x, y, z) = (23, 98, -36) +r(8, 32, -12) where r ER and l₂ : (x, y, z) = (–9, −30, 12) + t2, 8, −3) where t = R. Show that the lines ₁ and ₂ are identical.

l₁ : (x, y, z) = (23, 98, -36) +r(8, 32, -12) where r ER and l₂ : (x, y, z) = (–9, −30, 12) + t2, 8, −3) where t = R. Show that the lines ₁ and ₂ are identical.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question
Let l₁: (x, y, z) = (23, 98, -36)+7(8, 32, -12) where r ER and l₂: (x, y, z) = (-9, -30, 12) + (2,8, -3) where t = R. Show that the lines ₁ and ₂ are identical. Solution Identify the required vectors Let P₁ be the support point of the line ₁. Let vi be the generator vector of the line l₁. Let P₂ be the support point of the line 12. Let 2 be the generator vector of the line l₂. We know P₁ V₁ P₂ = (23,98,-36) (let r = 0 and write the components of the point) (8,32,-12) (-9,-30,12) (let t = 0 and write the components of the point) V₂ = (2,8,-3) and P₂P₁ = (write the components of the vector P2P₁)
Transcribed Image Text:Let l₁: (x, y, z) = (23, 98, -36)+7(8, 32, -12) where r ER and l₂: (x, y, z) = (-9, -30, 12) + (2,8, -3) where t = R. Show that the lines ₁ and ₂ are identical. Solution Identify the required vectors Let P₁ be the support point of the line ₁. Let vi be the generator vector of the line l₁. Let P₂ be the support point of the line 12. Let 2 be the generator vector of the line l₂. We know P₁ V₁ P₂ = (23,98,-36) (let r = 0 and write the components of the point) (8,32,-12) (-9,-30,12) (let t = 0 and write the components of the point) V₂ = (2,8,-3) and P₂P₁ = (write the components of the vector P2P₁)
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS