Q5) If the vector fieldT = (axy + Bz³)a, + (3x² – yz)a, + (3xz² – y)a,is irrotational, determine a, ß, and y. Find V-T at (2, -1, 0). (Note: irrotational means the curl equalto zero)

Answered: Image /qna-images/answer/7e0bc8a5-0c51-4b57-9c66-d28bbe3aa61a.jpg

Answered: Q5) If the vector field T = (axy +…

Q5) If the vector field T = (axy + Bz³)a, + (3x² – yz)a, + (3xz² – y)a, is irrotational, determine a, B, and y. Find V-T at (2, -1, 0). (Note: irrotational means the curl equal to zero)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Question

Q5) If the vector field
T = (axy + Bz³)a, + (3x² – yz)a, + (3xz² – y)a,
is irrotational, determine a, ß, and y. Find V-T at (2, -1, 0). (Note: irrotational means the curl equal
to zero)

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