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

Plot vectors over specified regions:

Plot a vector field with vectors placed with specified densities:

Plot a field with arrows placed at random locations:

Plot multiple vector fields with different colors for each field:

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

Use a single color for the arrows:

Plot with 3D arrows:

Color and scale the vectors based on the norm of the field:

Plot a vector field with arrows of specified size:

Vary the arrow length and arrowhead size:

Include a legend:

Use a highly stylized theme:

Use a log scale for the x axis:

Reverse the y scale so it increases toward the bottom:

By default, Axes are drawn for:

Use AxesFalse to turn off axes:

Turn each axis on individually:

No axes labels are drawn by default:

Place a label on the axis:

Specify axes labels:

Use labels based on variables specified in VectorPlot3D:

The position of the axes is determined automatically:

Specify an explicit origin for the axes:

Change the style for the axes:

Specify the style of each axis:

Use different styles for the ticks and the axes:

Use different styles for the labels and the axes:

By default, BoxRatios is set to Automatic:

Make the height appear twice the width and length:

Show where the function is sampled:

Count how many times the vector field function is evaluated:

Use named sizes such as Tiny, Small, Medium and Large:

Specify the width of the plot:

Specify the height of the plot:

Allow the width and height to be up to a certain size:

Specify the width and height for a graphic, padding with space if necessary:

Setting AspectRatioFull will fill the available space:

Use maximum sizes for the width and height:

Use ImageSizeFull to fill the available space in an object:

Specify the image size as a fraction of the available space:

Generate a higher-quality plot:

Emphasize performance, possibly at the cost of quality:

No legends are included by default:

Add a legend that indicates vector norms:

Include a legend for two fields:

Include the vector fields in the legend:

Control the placement of the legend:

The full plot range is used by default:

Use all points to compute the range:

Specify an explicit limit for , , and ranges:

Specify an explicit range:

Specify an explicit minimum range:

Specify an explicit range:

Specify an explicit maximum range:

Specify an explicit range:

Specify different , , and ranges:

Padding is computed automatically by default:

Specify no padding for all , , and ranges:

Specify an explicit padding for all , , and ranges:

Add 10% padding to all , , and ranges:

Specify padding for and ranges:

Specify different padding for , , and ranges:

Specify padding for the range:

Use different padding forms for each dimension:

Use a theme with dense vector points and legends:

Reduce the number of vector points:

Show the region defined by a region function:

Use None to not show the boundary:

Specify a style for the boundary:

The boundaries of full rectangular regions are not shown:

Specify a style for full rectangular regions:

Plot vectors only over certain quadrants:

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

Use any logical combination of conditions:

Use a log scale for the x axis:

Reverse the y scale so it increases toward the bottom:

Ticks are placed automatically in each plot:

Use TicksNone to not draw any tick marks:

Place tick marks at specific positions:

Draw tick marks at the specified positions with the specified labels:

Specify tick marks with scaled lengths:

Customize each tick with position, length, labeling and styling:

By default, the ticks and tick labels use the same styles as the axis:

Specify overall ticks style, including the tick labels:

Specify tick style for each of the axes:

The default aspect ratio for a vector marker is 0.3:

Decrease the relative width of a vector marker to its length:

Color the vectors according to their norm:

Use any named color gradient from ColorData:

Color the vectors according to their value:

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:

By default, 3D arrows are used:

Use other named markers:

Use Placed to control the arrow placement relative to the vector points:

Use automatically determined vector points:

Use symbolic names to specify the set of field vectors:

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

Create a regular 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 packed grid:

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

Start the vectors at the points:

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:

VectorColorFunction takes precedence over colors in VectorStyle:

Use VectorColorFunction→None to specify colors with VectorStyle: