For this problem, enter your vectors with angle-bracket notation: < a, b, c >, not in ijk- notation. (a) F = 7xi + (8y – z2) j + (2x + 15z) k - F does not have a vector potential + H, H = none (If there is no potential function, enter none for the function.) (b) F = 7xi + (8y – z?) j + (2x – 15z) k + H, Ĥ = %3D F has a vector potential <0,-2,0> (If there is no potential function, enter none for the function.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For this problem, enter your vectors with angle-bracket notation: < a, b, c >, not in ijk-
notation.
(a) F = 7xi + (8y – z2) j + (2x + 15z) k
-
F does not have a vector potential H, H =
none
(If there is no potential function, enter none for the function.)
(b) F = 7xi + (8y – z?) j + (2x – 15z) k
F has a vector potential
+ Ĥ, Ĥ =
<0,-2,0>
(If there is no potential function, enter none for the function.)
Transcribed Image Text:For this problem, enter your vectors with angle-bracket notation: < a, b, c >, not in ijk- notation. (a) F = 7xi + (8y – z2) j + (2x + 15z) k - F does not have a vector potential H, H = none (If there is no potential function, enter none for the function.) (b) F = 7xi + (8y – z?) j + (2x – 15z) k F has a vector potential + Ĥ, Ĥ = <0,-2,0> (If there is no potential function, enter none for the function.)
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