2313-A Vector Field in $\mathbb{R}^2$.sagews

A Vector Field in $\mathbb{R}^2$

$\mathbf{F}(x, y) = (-y, x)$

x, y = var('x,y')
plot_vector_field((-y, x), (x,-3,3), (y,-3,3), aspect_ratio=1)

Some Vector Fields in $\mathbb{R}^3$

$\mathbf{F}(x, y, z) = (-y, x, 1)$

x, y, z = var('x,y,z')
plot_vector_field3d((-y, x, 1), (x,-3,3), (y,-3,3), (z,-3,3), aspect_ratio=1)

$\mathbf{F}(x, y, z) = (-y, x, z)$

x, y, z = var('x,y,z')
plot_vector_field3d((-y, x, z), (x,-3,3), (y,-3,3), (z,-3,3), aspect_ratio=1)

$\mathbf{F}(x, y, z) = (y, z, x)$

x, y, z = var('x,y,z')
plot_vector_field3d((y, z, x), (x,-3,3), (y,-3,3), (z,-3,3), aspect_ratio=1)