Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 16 - Vector Calculus - 16.1 Vector Fields - 16.1 Exercises: 12

Answer

III

Work Step by Step

The x component of the output vector is not affected by the x coordinate. Along the line $y=x$ the output vectors are horizontal. This is because the y component of the output vector is equal to the difference between x coordinate and the y coordinate. If $x=y$, $f(x,y)=yi+0j$.
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