WOLFRAM|DEMONSTRATIONS PROJECT

Four Introductory Examples of Two-Dimensional Vector Fields

​
vector field
<a x, b y>
<a y, b x>
<a x, b x>
<a y, b y>
a
1
b
1
A vector field in
2

is a function
F
that assigns to each point
(x,y)
in

a vector
<f(x,y),g(x,y)>
, where
f
and
g
are functions defined on
2

. The vector is drawn so that its tail is at the point
(x,y)
. This Demonstration gives four introductory examples of vector fields.