Bard Math 212 - Vector Fields

40 days ago by ethan

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)