4. Which is the most accurate way to describe a vector field F on R³? (a) A function F from R to R³. (b) A function F from R³ to R. (c) A function F from R³ to R³. (d) None of the other choices. 5. If f(x, y) is a scalar function of two variables, which of the following is accurate? (a) Vf(x, y) is a scalar function of two variables. (b) Vf(x, y) is a vector field on R. (c) Vf(x, y) is a vector field on R². (d) Vf(x, y) is a vector field on R³. (e) None of the other choices.
4. Which is the most accurate way to describe a vector field F on R³? (a) A function F from R to R³. (b) A function F from R³ to R. (c) A function F from R³ to R³. (d) None of the other choices. 5. If f(x, y) is a scalar function of two variables, which of the following is accurate? (a) Vf(x, y) is a scalar function of two variables. (b) Vf(x, y) is a vector field on R. (c) Vf(x, y) is a vector field on R². (d) Vf(x, y) is a vector field on R³. (e) None of the other choices.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. Which is the most accurate way to describe a vector field F on R³?
(a) A function F from R to R³.
(b) A function F from R³ to R.
(c) A function F from R³ to R³.
(d) None of the other choices.
5. If f(x, y) is a scalar function of two variables, which of the following is accurate?
(a) Vf(x, y) is a scalar function of two variables.
(b) Vf(x, y) is a vector field on R.
(c) Vf(x, y) is a vector field on R².
(d) Vf(x, y) is a vector field on R³.
(e) None of the other choices.
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