Determine whether the planes are parallel, perpendicular.
Answer to Problem 38E
Explanation of Solution
Given information:
Determine whether the planes are parallel, perpendicular, or neither. If they are neither parallel nor perpendicular, find the angle of intersection.
Calculation:
Consider the planes,
The direction ratio of planes are,
If the dot product of ration of planes are zero then planes are orthogonal.
If the direction ratio of planes are proportional then two planes are said to be parallel.
Now consider the given planes,
The direction ratio of normal of the plane,
Now verify if the planes are orthogonal,
Hence the planes are not orthogonal.
Now verify if the planes are parallel, using formula,
Hence the planes are
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