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Class: VectorFieldVector

Defined in: mobjects/graphing/Vector.ts:48

VectorFieldVector - A mathematical vector represented as an arrow

Convenience class for working with vectors in mathematical contexts. Extends Arrow with additional methods for vector operations.

Example​

// Create a vector pointing in the direction [1, 1, 0]
const v = new VectorFieldVector({
  direction: [1, 1, 0]
});

// Create a vector at a specific position
const w = new VectorFieldVector({
  direction: [2, 0, 0],
  startPoint: [1, 1, 0]
});

// Create a capped vector for vector fields
const fieldVector = new VectorFieldVector({
  direction: [10, 10, 0],
  maxLength: 1.5  // Will be scaled down to length 1.5
});

Extends​

Constructors​

Constructor​

new VectorFieldVector(options): VectorFieldVector

Defined in: mobjects/graphing/Vector.ts:53

Parameters​

options​

VectorFieldVectorOptions

Returns​

VectorFieldVector

Overrides​

Arrow.constructor

Properties​

__savedMobjectState​

__savedMobjectState: unknown = null

Defined in: core/Mobject.ts:82

JSON-serializable saved state (used by restoreState()).

Inherited from​

Arrow.__savedMobjectState

_color​

protected _color: string = '#ffffff'

Defined in: core/Mobject.ts:57

Inherited from​

Arrow._color

_dirty​

_dirty: boolean = true

Defined in: core/Mobject.ts:75

Inherited from​

Arrow._dirty

_disableChildZLayering​

protected _disableChildZLayering: boolean = false

Defined in: core/Mobject.ts:72

When true, children skip the 2D z-layering offset in _syncToThree.

Inherited from​

Arrow._disableChildZLayering

_opacity​

protected _opacity: number = 1

Defined in: core/Mobject.ts:68

Inherited from​

Arrow._opacity

_style​

protected _style: MobjectStyle

Defined in: core/Mobject.ts:73

Inherited from​

Arrow._style

_threeObject​

_threeObject: Object3D<Object3DEventMap> = null

Defined in: core/Mobject.ts:74

Inherited from​

Arrow._threeObject

children​

children: Mobject[] = []

Defined in: core/Mobject.ts:52

Inherited from​

Arrow.children

createdAtBeginning​

createdAtBeginning: boolean = false

Defined in: core/Mobject.ts:56

Inherited from​

Arrow.createdAtBeginning

fillOpacity​

fillOpacity: number = 0

Defined in: core/Mobject.ts:70

Inherited from​

Arrow.fillOpacity

id​

readonly id: string

Defined in: core/Mobject.ts:50

Inherited from​

Arrow.id

parent​

parent: Mobject = null

Defined in: core/Mobject.ts:51

Inherited from​

Arrow.parent

position​

position: Vector3

Defined in: core/Mobject.ts:53

Inherited from​

Arrow.position

rotation​

rotation: Euler

Defined in: core/Mobject.ts:54

Inherited from​

Arrow.rotation

savedState​

savedState: Mobject = null

Defined in: core/Mobject.ts:78

Saved mobject copy (used by Restore animation). Set by saveState().

Inherited from​

Arrow.savedState

scaleVector​

scaleVector: Vector3

Defined in: core/Mobject.ts:55

Inherited from​

Arrow.scaleVector

strokeWidth​

strokeWidth: number = 4

Defined in: core/Mobject.ts:69

Inherited from​

Arrow.strokeWidth

targetCopy​

targetCopy: Mobject = null

Defined in: core/Mobject.ts:80

Target copy used by generateTarget() / MoveToTarget animation.

Inherited from​

Arrow.targetCopy

Accessors​

color​

Get Signature​

get color(): string

Defined in: core/Mobject.ts:58

Returns​

string

Set Signature​

set color(value): void

Defined in: core/Mobject.ts:61

Parameters​
value​

string

Returns​

void

Inherited from​

Arrow.color

fillColor​

Get Signature​

get fillColor(): string

Defined in: core/Mobject.ts:171

Returns​

string

Set Signature​

set fillColor(color): void

Defined in: core/Mobject.ts:175

Parameters​
color​

string

Returns​

void

Inherited from​

Arrow.fillColor

isDirty​

Get Signature​

get isDirty(): boolean

Defined in: core/Mobject.ts:448

Returns​

boolean

Inherited from​

Arrow.isDirty

length​

Get Signature​

get length(): number

Defined in: core/Group.ts:260

Get the number of mobjects in this group.

Returns​

number

Inherited from​

Arrow.length

opacity​

Get Signature​

get opacity(): number

Defined in: core/Mobject.ts:101

Returns​

number

Set Signature​

set opacity(value): void

Defined in: core/Mobject.ts:105

Parameters​
value​

number

Returns​

void

Inherited from​

Arrow.opacity

style​

Get Signature​

get style(): MobjectStyle

Defined in: core/Mobject.ts:109

Returns​

MobjectStyle

Inherited from​

Arrow.style

submobjects​

Get Signature​

get submobjects(): Mobject[]

Defined in: core/Mobject.ts:123

Returns​

Mobject[]

Inherited from​

Arrow.submobjects

Methods​

_createCopy()​

protected _createCopy(): Arrow

Defined in: mobjects/graphing/Vector.ts:279

Create a copy of this VectorFieldVector

Returns​

Arrow

Overrides​

Arrow._createCopy

_createThreeObject()​

protected _createThreeObject(): Object3D

Defined in: core/Group.ts:238

Create the Three.js backing object for this Group. A group is simply a THREE.Group that contains children.

Returns​

Object3D

Inherited from​

Arrow._createThreeObject

_getBoundingBox()​

_getBoundingBox(): object

Defined in: core/Mobject.ts:367

Returns​

object

depth​

depth: number

height​

height: number

width​

width: number

Deprecated​

Use getBoundingBox() instead.

Inherited from​

Arrow._getBoundingBox

_getEdgeInDirection()​

_getEdgeInDirection(direction): Vector3Tuple

Defined in: core/Mobject.ts:360

Parameters​

direction​

Vector3Tuple

Returns​

Vector3Tuple

Inherited from​

Arrow._getEdgeInDirection

_markDirty()​

_markDirty(): void

Defined in: core/Mobject.ts:438

Returns​

void

Inherited from​

Arrow._markDirty

_markDirtyUpward()​

_markDirtyUpward(): void

Defined in: core/Mobject.ts:442

Returns​

void

Inherited from​

Arrow._markDirtyUpward

_syncMaterialToThree()​

protected _syncMaterialToThree(): void

Defined in: core/Mobject.ts:436

Returns​

void

Inherited from​

Arrow._syncMaterialToThree

_syncToThree()​

_syncToThree(): void

Defined in: core/Mobject.ts:416

Returns​

void

Inherited from​

Arrow._syncToThree

[iterator]()​

[iterator](): Iterator<Mobject>

Defined in: core/Group.ts:276

Iterate over all mobjects in the group.

Returns​

Iterator<Mobject>

Inherited from​

Arrow.[iterator]

add()​

add(mobject): this

Defined in: core/Group.ts:31

Add a mobject to this group.

Parameters​

mobject​

Mobject

Mobject to add

Returns​

this

this for chaining

Inherited from​

Arrow.add

addUpdater()​

addUpdater(updater, callOnAdd): this

Defined in: core/Mobject.ts:474

Parameters​

updater​

UpdaterFunction

callOnAdd​

boolean = false

Returns​

this

Inherited from​

Arrow.addUpdater

addVector()​

addVector(other): this

Defined in: mobjects/graphing/Vector.ts:246

Add another vector to this one

Parameters​

other​

Vector3Tuple | VectorFieldVector

Returns​

this

alignTo()​

alignTo(target, direction): this

Defined in: core/Mobject.ts:345

Parameters​

target​

Mobject | Vector3Tuple

direction​

Vector3Tuple

Returns​

this

Inherited from​

Arrow.alignTo

applyFunction()​

applyFunction(fn): this

Defined in: core/Mobject.ts:504

Parameters​

fn​

(point) => number[]

Returns​

this

Inherited from​

Arrow.applyFunction

applyToFamily()​

applyToFamily(func): this

Defined in: core/Mobject.ts:462

Parameters​

func​

(mobject) => void

Returns​

this

Inherited from​

Arrow.applyToFamily

become()​

become(other): this

Defined in: core/Mobject.ts:294

Parameters​

other​

Mobject

Returns​

this

Inherited from​

Arrow.become

center()​

center(): this

Defined in: core/Mobject.ts:397

Returns​

this

Inherited from​

Arrow.center

clear()​

clear(): this

Defined in: core/Group.ts:73

Remove all children from this group.

Returns​

this

this for chaining

Inherited from​

Arrow.clear

clearUpdaters()​

clearUpdaters(): this

Defined in: core/Mobject.ts:486

Returns​

this

Inherited from​

Arrow.clearUpdaters

copy()​

copy(): Mobject

Defined in: core/Mobject.ts:276

Returns​

Mobject

Inherited from​

Arrow.copy

cross()​

cross(other): Vector3Tuple

Defined in: mobjects/graphing/Vector.ts:267

Compute the cross product with another vector

Parameters​

other​

Vector3Tuple | VectorFieldVector

Returns​

Vector3Tuple

dispose()​

dispose(): void

Defined in: core/Mobject.ts:532

Returns​

void

Inherited from​

Arrow.dispose

dot()​

dot(other): number

Defined in: mobjects/graphing/Vector.ts:259

Compute the dot product with another vector

Parameters​

other​

Vector3Tuple | VectorFieldVector

Returns​

number

filter()​

filter(fn): Group

Defined in: core/Group.ts:304

Filter mobjects in the group.

Parameters​

fn​

(mobject, index) => boolean

Filter predicate

Returns​

Group

New Group with filtered mobjects

Inherited from​

Arrow.filter

flip()​

flip(axis): this

Defined in: core/Mobject.ts:225

Parameters​

axis​

Vector3Tuple = ...

Returns​

this

Inherited from​

Arrow.flip

forEach()​

forEach(fn): this

Defined in: core/Group.ts:285

Apply a function to each mobject in the group.

Parameters​

fn​

(mobject, index) => void

Function to apply

Returns​

this

this for chaining

Inherited from​

Arrow.forEach

generateTarget()​

generateTarget(): Mobject

Defined in: core/Mobject.ts:516

Returns​

Mobject

Inherited from​

Arrow.generateTarget

get()​

get(index): Mobject

Defined in: core/Group.ts:269

Get a mobject by index.

Parameters​

index​

number

Index of the mobject

Returns​

Mobject

The mobject at the given index, or undefined

Inherited from​

Arrow.get

getAngle()​

getAngle(): number

Defined in: mobjects/geometry/Arrow.ts:294

Get the angle of the arrow in the XY plane (in radians)

Returns​

number

Inherited from​

Arrow.getAngle

getAngleXY()​

getAngleXY(): number

Defined in: mobjects/graphing/Vector.ts:225

Get the angle of the vector in the XY plane (in radians)

Returns​

number

getBottom()​

getBottom(): Vector3Tuple

Defined in: core/Mobject.ts:376

Returns​

Vector3Tuple

Inherited from​

Arrow.getBottom

getBoundingBox()​

getBoundingBox(): object

Defined in: core/Mobject.ts:363

Returns​

object

depth​

depth: number

height​

height: number

width​

width: number

Inherited from​

Arrow.getBoundingBox

getBounds()​

getBounds(): object

Defined in: core/Mobject.ts:310

Returns​

object

max​

max: object

max.x​

x: number

max.y​

y: number

max.z​

z: number

min​

min: object

min.x​

x: number

min.y​

y: number

min.z​

z: number

Inherited from​

Arrow.getBounds

getCenter()​

getCenter(): Vector3Tuple

Defined in: core/Group.ts:86

Get the center of the group (average of all children centers). Children maintain world-space coordinates, so no group position offset is added (shift/moveTo only update children, not group position).

Returns​

Vector3Tuple

Center position as [x, y, z]

Inherited from​

Arrow.getCenter

getDirection()​

getDirection(): Vector3Tuple

Defined in: mobjects/graphing/Vector.ts:103

Get the direction vector

Returns​

Vector3Tuple

Overrides​

Arrow.getDirection

getEdge()​

getEdge(direction): Vector3Tuple

Defined in: core/Mobject.ts:370

Parameters​

direction​

Vector3Tuple

Returns​

Vector3Tuple

Inherited from​

Arrow.getEdge

getEnd()​

getEnd(): Vector3Tuple

Defined in: mobjects/geometry/Arrow.ts:221

Get the end point (tip of the arrow)

Returns​

Vector3Tuple

Inherited from​

Arrow.getEnd

getFamily()​

getFamily(): Mobject[]

Defined in: core/Mobject.ts:468

Returns​

Mobject[]

Inherited from​

Arrow.getFamily

getLeft()​

getLeft(): Vector3Tuple

Defined in: core/Mobject.ts:379

Returns​

Vector3Tuple

Inherited from​

Arrow.getLeft

getLength()​

getLength(): number

Defined in: mobjects/geometry/Arrow.ts:237

Get the length of the arrow (including tip)

Returns​

number

Inherited from​

Arrow.getLength

getMagnitude()​

getMagnitude(): number

Defined in: mobjects/graphing/Vector.ts:146

Get the magnitude (length) of the vector

Returns​

number

getMaxLength()​

getMaxLength(): number

Defined in: mobjects/graphing/Vector.ts:209

Get the maximum length constraint

Returns​

number

getRight()​

getRight(): Vector3Tuple

Defined in: core/Mobject.ts:382

Returns​

Vector3Tuple

Inherited from​

Arrow.getRight

getStart()​

getStart(): Vector3Tuple

Defined in: mobjects/geometry/Arrow.ts:205

Get the start point

Returns​

Vector3Tuple

Inherited from​

Arrow.getStart

getStartPoint()​

getStartPoint(): Vector3Tuple

Defined in: mobjects/graphing/Vector.ts:193

Get the start point

Returns​

Vector3Tuple

getThreeObject()​

getThreeObject(): Object3D

Defined in: core/Mobject.ts:452

Returns​

Object3D

Inherited from​

Arrow.getThreeObject

getTipLength()​

getTipLength(): number

Defined in: mobjects/geometry/Arrow.ts:247

Get the tip length

Returns​

number

Inherited from​

Arrow.getTipLength

getTipWidth()​

getTipWidth(): number

Defined in: mobjects/geometry/Arrow.ts:263

Get the tip width

Returns​

number

Inherited from​

Arrow.getTipWidth

getTop()​

getTop(): Vector3Tuple

Defined in: core/Mobject.ts:373

Returns​

Vector3Tuple

Inherited from​

Arrow.getTop

getUnitVector()​

getUnitVector(): Vector3Tuple

Defined in: mobjects/graphing/Vector.ts:184

Get the unit vector (normalized direction)

Returns​

Vector3Tuple

getUpdaters()​

getUpdaters(): UpdaterFunction[]

Defined in: core/Mobject.ts:493

Returns​

UpdaterFunction[]

Inherited from​

Arrow.getUpdaters

getVisualLength()​

getVisualLength(): number

Defined in: mobjects/graphing/Vector.ts:157

Get the visual length of the vector (may be capped by maxLength)

Returns​

number

hasUpdaters()​

hasUpdaters(): boolean

Defined in: core/Mobject.ts:490

Returns​

boolean

Inherited from​

Arrow.hasUpdaters

map()​

map<T>(fn): T[]

Defined in: core/Group.ts:295

Map over all mobjects in the group.

Type Parameters​

T​

T

Parameters​

fn​

(mobject, index) => T

Mapping function

Returns​

T[]

Array of mapped values

Inherited from​

Arrow.map

moveTo()​

moveTo(target, alignedEdge?): this

Defined in: core/Group.ts:127

Move the group center to the given point, or align with another Mobject.

Parameters​

target​

Target position [x, y, z] or Mobject to align with

Mobject | Vector3Tuple

alignedEdge?​

Vector3Tuple

Optional edge direction to align (e.g., UL aligns upper-left edges)

Returns​

this

this for chaining

Inherited from​

Arrow.moveTo

moveToAligned()​

moveToAligned(target, alignedEdge?): this

Defined in: core/Mobject.ts:355

Parameters​

target​

Mobject | Vector3Tuple

alignedEdge?​

Vector3Tuple

Returns​

this

Inherited from​

Arrow.moveToAligned

nextTo()​

nextTo(target, direction, buff): this

Defined in: core/Mobject.ts:328

Parameters​

target​

Mobject | Vector3Tuple

direction​

Vector3Tuple = RIGHT

buff​

number = 0.25

Returns​

this

Inherited from​

Arrow.nextTo

prepareForNonlinearTransform()​

prepareForNonlinearTransform(numPieces): this

Defined in: core/Mobject.ts:509

Parameters​

numPieces​

number = 50

Returns​

this

Inherited from​

Arrow.prepareForNonlinearTransform

reconstructTip()​

reconstructTip(): void

Defined in: mobjects/geometry/Arrow.ts:303

Rebuild the tip triangle from the shaft's and tip's current (possibly transformed) points. Uses the tip's already-transformed apex so the arrow still points at the exact transformed coordinate, while restoring a clean isosceles triangle shape.

Returns​

void

Inherited from​

Arrow.reconstructTip

remove()​

remove(mobject): this

Defined in: core/Group.ts:56

Remove a mobject from this group.

Parameters​

mobject​

Mobject

Mobject to remove

Returns​

this

this for chaining

Inherited from​

Arrow.remove

removeUpdater()​

removeUpdater(updater): this

Defined in: core/Mobject.ts:480

Parameters​

updater​

UpdaterFunction

Returns​

this

Inherited from​

Arrow.removeUpdater

replace()​

replace(target, stretch): this

Defined in: core/Mobject.ts:299

Parameters​

target​

Mobject

stretch​

boolean = false

Returns​

this

Inherited from​

Arrow.replace

restoreState()​

restoreState(): boolean

Defined in: core/Mobject.ts:526

Returns​

boolean

Inherited from​

Arrow.restoreState

rotate()​

rotate(angle, axisOrOptions?): this

Defined in: core/Group.ts:157

Rotate all children around an axis. Only children are rotated to avoid double-counting with Three.js hierarchy.

Parameters​

angle​

number

Rotation angle in radians

axisOrOptions?​

Vector3Tuple | { aboutPoint?: Vector3Tuple; axis?: Vector3Tuple; }

Returns​

this

this for chaining

Inherited from​

Arrow.rotate

rotateAboutOrigin()​

rotateAboutOrigin(angle, axis): this

Defined in: core/Mobject.ts:221

Parameters​

angle​

number

axis​

Vector3Tuple = ...

Returns​

this

Inherited from​

Arrow.rotateAboutOrigin

saveState()​

saveState(): this

Defined in: core/Mobject.ts:521

Returns​

this

Inherited from​

Arrow.saveState

scale()​

scale(factor): this

Defined in: core/Group.ts:174

Scale all children. Only children are scaled to avoid double-counting with Three.js hierarchy.

Parameters​

factor​

Scale factor (number for uniform, tuple for non-uniform)

number | Vector3Tuple

Returns​

this

this for chaining

Inherited from​

Arrow.scale

scaleDirection()​

scaleDirection(factor): this

Defined in: mobjects/graphing/Vector.ts:234

Scale the direction vector by a factor Note: This method is named scaleDirection to avoid conflict with the inherited scaleVector property from Mobject.

Parameters​

factor​

number

Returns​

this

setColor()​

setColor(color): this

Defined in: core/Group.ts:187

Set the color of all children.

Parameters​

color​

string

CSS color string

Returns​

this

this for chaining

Inherited from​

Arrow.setColor

setDirection()​

setDirection(direction): this

Defined in: mobjects/graphing/Vector.ts:111

Set the direction vector

Parameters​

direction​

Vector3Tuple

New direction as [x, y, z]

Returns​

this

setEnd()​

setEnd(point): this

Defined in: mobjects/geometry/Arrow.ts:228

Set the end point (tip of the arrow)

Parameters​

point​

Vector3Tuple

Returns​

this

Inherited from​

Arrow.setEnd

setFill()​

setFill(color?, opacity?): this

Defined in: core/Mobject.ts:165

Parameters​

color?​

string

opacity?​

number

Returns​

this

Inherited from​

Arrow.setFill

setFillOpacity()​

setFillOpacity(opacity): this

Defined in: core/Group.ts:226

Set the fill opacity of all children.

Parameters​

opacity​

number

Fill opacity (0-1)

Returns​

this

this for chaining

Inherited from​

Arrow.setFillOpacity

setMagnitude()​

setMagnitude(length): this

Defined in: mobjects/graphing/Vector.ts:165

Set the length of the vector (scales the direction)

Parameters​

length​

number

New length for the vector

Returns​

this

setMaxLength()​

setMaxLength(maxLength): this

Defined in: mobjects/graphing/Vector.ts:216

Set the maximum length constraint

Parameters​

maxLength​

number

Returns​

this

setOpacity()​

setOpacity(opacity): this

Defined in: core/Group.ts:200

Set the opacity of all children.

Parameters​

opacity​

number

Opacity value (0-1)

Returns​

this

this for chaining

Inherited from​

Arrow.setOpacity

setStart()​

setStart(point): this

Defined in: mobjects/geometry/Arrow.ts:212

Set the start point

Parameters​

point​

Vector3Tuple

Returns​

this

Inherited from​

Arrow.setStart

setStartPoint()​

setStartPoint(point): this

Defined in: mobjects/graphing/Vector.ts:200

Set the start point (keeps the same direction)

Parameters​

point​

Vector3Tuple

Returns​

this

setStrokeWidth()​

setStrokeWidth(width): this

Defined in: core/Group.ts:213

Set the stroke width of all children.

Parameters​

width​

number

Stroke width in pixels

Returns​

this

this for chaining

Inherited from​

Arrow.setStrokeWidth

setStyle()​

setStyle(style): this

Defined in: core/Mobject.ts:113

Parameters​

style​

Partial<MobjectStyle>

Returns​

this

Inherited from​

Arrow.setStyle

setTipLength()​

setTipLength(value): this

Defined in: mobjects/geometry/Arrow.ts:254

Set the tip length

Parameters​

value​

number

Returns​

this

Inherited from​

Arrow.setTipLength

setTipWidth()​

setTipWidth(value): this

Defined in: mobjects/geometry/Arrow.ts:270

Set the tip width

Parameters​

value​

number

Returns​

this

Inherited from​

Arrow.setTipWidth

setX()​

setX(x): this

Defined in: core/Mobject.ts:385

Parameters​

x​

number

Returns​

this

Inherited from​

Arrow.setX

setY()​

setY(y): this

Defined in: core/Mobject.ts:389

Parameters​

y​

number

Returns​

this

Inherited from​

Arrow.setY

setZ()​

setZ(z): this

Defined in: core/Mobject.ts:393

Parameters​

z​

number

Returns​

this

Inherited from​

Arrow.setZ

shift()​

shift(delta): this

Defined in: core/Group.ts:113

Shift all children by the given delta. Only children are shifted (they maintain world-space coordinates). The group's own position is NOT updated to avoid double-counting when getCenter() computes the average of children centers.

Parameters​

delta​

Vector3Tuple

Translation vector [x, y, z]

Returns​

this

this for chaining

Inherited from​

Arrow.shift

toCorner()​

toCorner(direction, buff, frameDimensions?): this

Defined in: core/Mobject.ts:406

Parameters​

direction​

Vector3Tuple = ...

buff​

number = 0.5

frameDimensions?​

[number, number]

Returns​

this

Inherited from​

Arrow.toCorner

toEdge()​

toEdge(direction, buff, frameDimensions?): this

Defined in: core/Mobject.ts:401

Parameters​

direction​

Vector3Tuple

buff​

number = 0.5

frameDimensions?​

[number, number]

Returns​

this

Inherited from​

Arrow.toEdge

update()​

update(dt): void

Defined in: core/Mobject.ts:497

Parameters​

dt​

number

Returns​

void

Inherited from​

Arrow.update