Concept explainers
To proof: The
Explanation of Solution
Given information:
The vectors
Formula used:
If there are two three-dimensional vectors in a space given in the form of their components, say,
Let
Mathematically the magnitude of cross product is expressed as,
Proof:
Consider the set of vectors
Recall that if there are two three-dimensional vectors in a space given in the form of their components, say,
Apply it,
The magnitude of
Let
Mathematically the magnitude of cross product is expressed as,
The angle between the vectors
Now,
Equate the value of
Hence, the identity
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