Skip to main content\(\newcommand{\R}{\mathbb{R}}
\newcommand{\va}{\vec{a}}
\newcommand{\vb}{\vec{b}}
\newcommand{\vc}{\vec{c}}
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\newcommand{\vr}{\vec{r}}
\newcommand{\vs}{\vec{s}}
\newcommand{\vu}{\vec{u}}
\newcommand{\vv}{\vec{v}}
\newcommand{\vw}{\vec{w}}
\newcommand{\vx}{\vec{x}}
\newcommand{\vy}{\vec{y}}
\newcommand{\vz}{\vec{z}}
\newcommand{\vzero}{\vec{0}}
\newcommand{\vF}{\vec{F}}
\newcommand{\vG}{\vec{G}}
\newcommand{\vH}{\vec{H}}
\newcommand{\vR}{\vec{R}}
\newcommand{\vT}{\vec{T}}
\newcommand{\vN}{\vec{N}}
\newcommand{\vL}{\vec{L}}
\newcommand{\vB}{\vec{B}}
\newcommand{\vS}{\vec{S}}
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\)
Activity 13.6.3.
(a)
Calculate the divergence of the vector fields given below.
-
\(\displaystyle \vF(x,y)=\langle -x,-y\rangle\)
-
\(\displaystyle \vG(x,y)=\langle y,x \rangle\)
-
\(\displaystyle \vH(x,y)=\langle xy,1-x\rangle\)
(b)
Explain how your answers to the questions in
Activity 13.6.2 can be explained by using your results from
part a of this activity.
