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 919: 17

Answer

$\bf{Plot (C)}$

Work Step by Step

When we draw a vector field , we need to draw $F(P)$ as a vector based at a point (let us say a point) $P$. The domain of $F$ corresponds to the set of points $P$ for which $F(P)$ is defined. This follows that $F(x,y,z)=\lt 1,1,1 \gt \quad \text{and} \quad F=1 \ i+1 \ j+1 \ z$ Thus, when we draw a vector field of $F$ at any point the vector will be directed to $1 \ i+1 \ j+1 \ z$ direction. So, we interpret from the above discussion that the planar vector fields satisfies by the $\bf{Plot (C)}$.
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