Concept explainers
(a)
To find:The angle between two
(a)
Answer to Problem 7RCC
The angle between two vectors using dot product is
Explanation of Solution
Given information:
The dot product between twovectors
Calculation:
Let
If
Therefore, theangle between two vectors using dot productis
(b)
To find:Whether two vectors are perpendicular using dot product.
(b)
Answer to Problem 7RCC
The two vectors are perpendicular when the dot product is
Explanation of Solution
Given information:
The dot product between twovectors
Calculation:
Let
The two vectors are perpendicular vectors when the dot product
dot product
If vectors
So,
Therefore, the two vectors are perpendicular when the dot product is
Chapter 9 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- 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