a) Show that the two planes r= (3,0,2)+1(1,2,-1)+ s(4,-2,-5) and 12x-y+10z-9= 0 are parallel. b) Show that the line r = (-1,-3,1)+(3,4,3) is parallel to the plane- r = (9,-2,-7)+(2,1,3)+ s(1,-2,3).
a) Show that the two planes r= (3,0,2)+1(1,2,-1)+ s(4,-2,-5) and 12x-y+10z-9= 0 are parallel. b) Show that the line r = (-1,-3,1)+(3,4,3) is parallel to the plane- r = (9,-2,-7)+(2,1,3)+ s(1,-2,3).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 19EQ
Related questions
Question
Thank you! I believe for a) one is in vector form the other in Cartesian so you would switch that to Cartesian form and compare. For b) you would switch that to Cartesian form and draw a picture to see if the line is parallel to the plane and how they should look.
Expert Solution
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,