Plot a vector field with vectors placed with specified densities:

Sample the vector field on a regular grid of points:

Sample the vector field on an irregular mesh:

Specify how many vector points to use in each direction:

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

Increase the number of points in an alternate point generation scheme:

Plot vectors over a specified region:

The domain may be specified by a region:

The domain may be specified by a MeshRegion:

Plot multiple vector fields:

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

Plot a vector field with automatically scaled arrows:

Use a single color for the arrows:

Plot a vector field with arrows of specified size:

Change the overall shape of the markers:

Change the default color function:

Include a legend:

VectorColorFunction takes precedence over colors in VectorStyle:

Set VectorColorFunctionNone to specify colors with VectorStyle:

Include a legend for multiple vector fields:

Use a theme with simple ticks and grid lines:

By default, the aspect ratio is 1:

Set the aspect ratio:

Use colored backgrounds:

Vectors are clipped via VectorRange. The default clipping style is automatically chosen:

Do not show clipped vectors:

Specify the style for clipped vectors:

Color upper and lower clipped vectors differently:

Show where the vector field function is sampled:

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

Label the axes:

No legends are included by default:

Include a legend to show the color range of vector norms:

Include a legend for multiple fields:

Control the placement of the legend:

The full plot range is used by default:

Specify an explicit limit for both and ranges:

Specify an explicit range:

Specify an explicit maximum range:

Specify different and ranges:

Use a theme with detailed ticks and axes:

Add automatic GridLines:

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:

Omit the interior filling as well:

Specify a style for the boundary:

Specify a style for full rectangular regions:

Show the region being plotted:

Show the region defined by a region function:

The interior of full rectangular regions are not shown:

Use None to not show the interior filling:

Omit the boundary curve as well:

Specify a style for the interior filling:

Specify a style for full rectangular region:

Plot vectors only over a certain region:

Modify the method by which field points are generated to better reflect the boundary of the 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 norms:

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:

Use "Mesh" to better represent the boundary of a 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 scales:

With the vector scaling function set to None, all vectors have the same size:

The sizes of the displayed vectors are determined automatically:

Specify the range of arrow lengths:

Set the style for the displayed vectors:

Set the style for multiple vector fields:

Use Arrowheads to specify an explicit style of the arrowheads:

Specify both arrow tail and head:

Graphics primitives without Arrowheads are scaled based on the vector scale:

Change the scaling using the VectorScaling option:

Plot the direction field for the logistic differential equation :

Give the segments a common color:

Add several solution curves with a uniform color:

Plot the direction field for a differential equation that is only defined over a specific subset of the -plane, :

Characterize linear planar systems interactively:

Use vectors to indicate the stability of a limit cycle:

Gradient field of over the unit square:

Show the direction field for a frictionless pendulum satisfying :

Display the electric field for two point charges: