Visualize a vector field with the background based on :

Use Evaluate to evaluate the vector field symbolically before numeric assignment:

Plot a vector field with vectors placed with specified densities:

Plot the vectors that go through a set of seed points:

Create a hexagonal grid of field vectors with a different number of arrows for and :

Specify a list of points for showing field vectors:

Plot vectors over a specified region:

The domain may be specified by a region:

The domain may be specified by a MeshRegion:

Plot a vector field with arrows scaled according to their magnitudes:

Use a single color for the arrows:

Specify the sizes of the arrows:

Plot a vector field with the background and vectors colored according to the field magnitude:

Use a named appearance to draw the vectors:

VectorColorFunction takes precedence over colors in VectorStyle:

Set VectorColorFunctionNone to specify colors with VectorStyle:

Set the marker style for multiple vector fields:

Apply vector style:

Include a legend for the scalar field:

Use a log scale for the x axis:

Reverse the y scale so it increases toward the bottom:

Use colored backgrounds:

By default, region boundaries have no style:

Change the style of the boundary:

Color the scalar field magnitude with a named color gradient from ColorData:

Specify a different scalar field:

Use ColorData for predefined color gradients:

Specify a color function that blends two colors by the coordinate:

Use ColorFunctionScaling->False to get unscaled values:

By default, scaled values are used:

Use ColorFunctionScaling->False to get unscaled values:

Use unscaled coordinates in the direction and scaled coordinates in the direction:

Explicitly specify the scaling for each color function argument:

Show where the vector field function is sampled:

Count the number of times the vector field function is evaluated:

Refine the plot where it changes quickly:

By default, no mesh lines are displayed:

Show the initial and final sampling meshes:

Use a specific number of mesh lines:

Specify mesh lines:

Use different styles for different mesh lines:

By default, mesh lines correspond to the magnitude of the field:

Use the value as the mesh function:

Use mesh lines corresponding to fixed distances from the origin:

Use None to remove regions:

Styles are used cyclically:

Use indexed colors from ColorData cyclically:

Apply a variety of styles to the mesh lines:

Generate a higher-quality plot:

Emphasize performance, possibly at the cost of quality:

No legends are included by default:

Include a legend for the scalar field:

The full plot range is used by default:

Specify an explicit limit for both and ranges:

Specify different and ranges:

Use a theme with a high-contrast color scheme:

Change the color scheme:

Show the region being plotted:

Show the region defined by a region function:

The boundaries of full rectangular regions are not shown:

Use None to not show the boundary:

Specify a style for the boundary:

Specify a style for full rectangular regions:

Plot vectors only over a specified region:

Plot vectors only over regions where the field magnitude is above a given threshold:

Use any logical combination of conditions:

The default aspect ratio for a vector marker is 1/4:

Increase the relative width of a vector marker:

Color the vectors according to their norm:

Color the vectors according to a different scalar field:

Use any named color gradient from ColorData:

Color the vectors according to their values:

Use VectorColorFunctionScaling->False to get unscaled values:

By default, scaled values are used:

Use VectorColorFunctionScaling->False to get unscaled values:

Use unscaled coordinates in the direction and scaled coordinates in the direction:

Explicitly specify the scaling for each color function argument:

Vectors are drawn as arrows by default:

Use a named appearance to draw the vectors:

Use different markers for different vector fields:

By default, markers are centered on vector points:

Start the vectors at the points:

End the vectors at the points:

Use automatically determined vector points:

Use symbolic names to specify the set of field vectors:

Create a hexagonal grid of field vectors with the same number of arrows for and :

Create a hexagonal grid of field vectors with a different number of arrows for and :

Specify a list of points for showing field vectors:

Use a different number of field vectors on a hexagonal grid:

The location for vectors is given in the middle of the drawn vector:

Use a rectangular mesh instead of a hexagonal mesh:

Use a mesh generated from a triangularization of the region:

The clipping of vectors with very small or very large magnitudes is done automatically:

Specify the range of vector norms:

Suppress the clipped vectors:

Show all the vectors:

Use automatically determined vector scaling:

By default, arrows are all the same length:

Specify the relative size of vectors as a fraction of the largest vector:

Specify min and max of the vector sizes with automatic scaling:

Use symbolic names to control the size of vectors:

VectorColorFunction takes precedence over colors in VectorStyle:

Set VectorColorFunctionNone to specify colors with VectorStyle:

Set the style for multiple vector fields:

Plot the vector fields without arrowheads:

Use Arrowheads to specify an explicit style of the arrowheads:

Specify both arrow tail and head:

Graphics primitives without Arrowheads are scaled: