Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 17 - Line and Surface Integrals - 17.1 Vector Fields - Exercises - Page 918: 1

Answer

Please see the figure attached. ${\bf{F}}\left( P \right) = \left( {1,1} \right)$ ${\bf{F}}\left( Q \right) = \left( {1, - 1} \right)$

Work Step by Step

We have the vector field ${\bf{F}} = \left( {{x^2},x} \right)$. The vector assigned to $P = \left( {1,2} \right)$ is ${\bf{F}}\left( P \right) = \left( {1,1} \right)$ The vector assigned to $Q = \left( { - 1, - 1} \right)$ is ${\bf{F}}\left( Q \right) = \left( {1, - 1} \right)$ Please see the figure attached.
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