Concept explainers
Match the
18. F(x, y, z) = zi + yj + zk
The graph of vector field
Answer to Problem 18P
The graph of vector field
Explanation of Solution
The vector field is a function of a space which gives a vector quantity at each point. It is a collection of arrows with a given magnitude and direction.
The general form of vector field in a space is given below,
Compare the vector field
The graph of vector field
Figure (1)
From Figure (1), it is noticed that all the vectors are in different direction and having different magnitude. All the vectors are pointing outside the center and the vectors near to the center have less magnitude then the other vectors.
The Figure (1) and the above description match with the graph II.
Figure (2)
Thus, the graph of vector field
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