Concept explainers
a.
To find: The angle between given two planes.
a.
Answer to Problem 49E
Explanation of Solution
Given information:
Equations of two plane is given as,
Concepts used:
An equation of plane given in the general form of
Angle of intersection between two planes having normal
Calculation:
Equations of two plane is given as,
So, normal vectors to these plane will be given as −
Now angle between these two plane will be given by −
Hence, angle between given two planes is
b.
To find: The parametric equation of line of intersection of given two plane.
b.
Answer to Problem 49E
Explanation of Solution
Given information:
Same as part
Calculation:
Equations of two plane is given as,
So, normal vectors to these plane will be given as −
Since, line of intersection of two plane is parallel to the cross product of their normal vector.
Line of intersection of these two plane can be found by solving these two equation.
Therefore, point
Now set of parametric equation of a line passing through
Hence, desired parametric equation of line of intersection 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