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3-D quiver or vector plot

`quiver3(`

plots arrows with directional components `X`

,`Y`

,`Z`

,`U`

,`V`

,`W`

)`U`

, `V`

,
and `W`

at the Cartesian coordinates specified by
`X`

, `Y`

, and `Z`

. For example,
the first arrow originates from the point `X(1)`

,
`Y(1)`

, and `Z(1)`

, extends in the direction of the
*x*-axis according to `U(1)`

, extends in the direction
of the *y*-axis according to `V(1)`

, and extends in the
direction of the *z*-axis according to `W(1)`

. By
default, the `quiver3`

function scales the arrow lengths so that they
do not overlap.

`quiver3(`

plots arrows with directional components specified by `Z`

,`U`

,`V`

,`W`

)`U`

,
`V`

, and `W`

at equally spaced points along the
surface `Z`

.

If

`Z`

is a vector, then the*x*-coordinates of the arrows range from 1 to the number of elements in`Z`

and the*y*-coordinates are all 1.If

`Z`

is a matrix, then the*x*-coordinates of the arrows range from 1 to the number of columns in`Z`

and the*y*-coordinates range from 1 to the number of rows in`Z`

.

`quiver3(___,`

adjusts the
length of arrows:`scale`

)

When

`scale`

is a positive number, the`quiver3`

function automatically adjusts the lengths of arrows so they do not overlap, then stretches them by a factor of`scale`

. For example, a`scale`

of 2 doubles the length of arrows, and a`scale`

of 0.5 halves the length of arrows.When

`scale`

is`'off'`

or`0`

, such as`quiver3(X,Y,Z,U,V,W,'off')`

, then automatic scaling is disabled.

`quiver3(___,`

fills the markers specified by `LineSpec`

,`'filled'`

)`LineSpec`

.

`quiver3(___,`

specifies quiver properties using one or more name-value pair arguments. For a list of
properties, see Quiver Properties. Specify name-value pair
arguments after all other input arguments. Name-value pair arguments apply to all of the
arrows in the quiver plot.`Name,Value`

)

`q = quiver3(___)`

returns a `Quiver`

object. This object is useful for controlling the properties of the quiver plot after
creating it.

To create a 3-D quiver plot using cylindrical or spherical coordinates, first convert them
to Cartesian coordinates using the `pol2cart`

or `sph2cart`

function.