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(b) Draw a field F2 so that both V-F₂ = 0, and V x F₂ = 0 are true. Justify your solution physically and mathematically. (c) Draw a field F3 so that both V-F30, and V x F3 = 0 are true. Justify your solution physically and mathematically.

(b) Draw a field F2 so that both V-F₂ = 0, and V x F₂ = 0 are true. Justify your solution physically and mathematically. (c) Draw a field F3 so that both V-F30, and V x F3 = 0 are true. Justify your solution physically and mathematically.

Advanced Engineering Mathematics
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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Parts B and C

In each of the following, draw any two dimensional vector field, F = Fraz + Fyay, i.e., it should contain both ar, ay components and Fr 0, Fy ‡0. (a) Draw a field F₁ so that both V. F₁ = 0, and V × F₁ ‡0 are true. Justify your solution physically and mathematically. (b) Draw a field F2 so that both V F2 = 0, and Vx F₂ = 0 are true. Justify your solution physically and mathematically. (c) Draw a field F3 so that both V-F30, and V x F3 = 0 are true. Justify your solution physically and mathematically.
Transcribed Image Text:In each of the following, draw any two dimensional vector field, F = Fraz + Fyay, i.e., it should contain both ar, ay components and Fr 0, Fy ‡0. (a) Draw a field F₁ so that both V. F₁ = 0, and V × F₁ ‡0 are true. Justify your solution physically and mathematically. (b) Draw a field F2 so that both V F2 = 0, and Vx F₂ = 0 are true. Justify your solution physically and mathematically. (c) Draw a field F3 so that both V-F30, and V x F3 = 0 are true. Justify your solution physically and mathematically.
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