Concept explainers
a.
To find: a
a.
Answer to Problem 12PS
Vector is
Explanation of Solution
Given information: Given plane equation is
Formula Used:
Use the direction numbers of the planes to find a normal vector .Recall that the direction numbers of a plane given by.
Calculation:
Given plane equation is,
The vectors are scalar multiples of each other which mean that the planes are parallel.
b.
To find: a vector that is normal to each plane and what can say about the position of these planes in space relative to each other.
b.
Answer to Problem 12PS
Vector is
Explanation of Solution
Given information: Given plane equation is
Formula Used:
Use the direction numbers of the planes to find a normal vector .Recall that the direction numbers of a plane given by.
Calculation:
Given plane equation is,
The vectors are scalar multiples of each other which mean that the planes are parallel.
c.
To find: a vector that is normal to each plane and what can say about the position of these planes in space relative to each other.
c.
Answer to Problem 12PS
Vector is
Explanation of Solution
Given information: Given plane equation is
Formula Used:
Use the direction numbers of the planes to find a normal vector .Recall that the direction numbers of a plane given by.
Calculation:
Given plane equation is,
The vectors are scalar multiples of each other which mean that the planes are parallel.
d.
To find: a vector that is normal to each plane and what can say about the position of these planes in space relative to each other.
d.
Answer to Problem 12PS
Vector is
Explanation of Solution
Given information: Given plane equation is
Calculation:
Formula Used:
Use the direction numbers of the planes to find a normal vector .Recall that the direction numbers of a plane given by.
Calculation:
Given plane equation is,
The vectors are scalar multiples of each other which mean that the planes are parallel.
Chapter 11 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning