(a)
Find the projection of u onto v equals u
(a)
Answer to Problem 91E
The
Explanation of Solution
Given:
The projection formula is,
The projection of u onto v is equal to u. Therefore,
Here,
The magnitude of projection is
Therefore, the vectors u and v are parallel to each other.
(b)
Find the projection of u onto v equals 0.
(b)
Answer to Problem 91E
The vectors u and v are orthogonal to each other.
Explanation of Solution
Given:
The projection formula is,
The projection of u onto v is equal to u. Therefore,
This gives,
Therefore, the vectors u and v are orthogonal to each other.
Chapter 6 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