Concept explainers
To find: The distance between a point and the given plane.
Answer to Problem 66E
Explanation of Solution
Given information:
An equation of the plane is given as
A point outside the plane is given as
Concepts used:
The distance between a plane and a point (outside the plane) is given as −
Calculation:
Equation of a plane is given as,
So, normal
To find a point in the plane let
So, point
A point outside the plane is given as
Now distance between point
Hence, the distance between given point and the given plane is
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