## DAVector3 Class

Creates a DAVector3 object that represents a three-dimensional vector. At any given time, the value of the vector is a direction and length (magnitude), specified as a triplet of coordinate values given as either Cartesian coordinates (x, y, z) or spherical coordinates (XYangle, YZangle, length). The direction of the vector is parallel to the ray that starts at the origin and passes through the point specified by the vector's coordinates, and the length is the distance between the origin and the point.

Because coordinate values are animated numbers, (DANumber objects), the direction and length of the vector can change over time as the animated numbers change.

This class inherits from the DABehavior Class.

- DAVector3 Functions
- DAVector3 Properties
- Relevant Functions from the DAStatics Class
- Relevant Properties from the DAStatics Class

### DAVector3 Functions

DivAnim

Div

MulAnim

Mul

Normalize

Transform

####

DivAnim

DAVector3 Class

Creates a DAVector3 object that points in the same direction as the original vector but has a length that has been divided by scalar.

vector3Obj.DivAnim(
scalar
)

##### Parameters

scalar
  A DANumber object used as the divider. This must be an animated number.

##### Return Values

Returns the DAVector3 object.

##### See Also

MulAnim

####

Div

DAVector3 Class

Same as DivAnim except that scalar is a non-animated number (a double).

vector3Obj.Div(
scalar
)

####

MulAnim

DAVector3 Class

Creates a DAVector3 object that points in the same direction as the original vector but has a length that has been multiplied by scalar.

vector3Obj.MulAnim(
scalar
)

##### Parameters

scalar
  A DANumber object used as the multiplier. This must be an animated number.

##### Return Values

Returns the DAVector3 object.

##### See Also

DivAnim

####

Mul

DAVector3 Class

Same as MulAnim except that scalar is a non-animated number (a double).

vector3Obj.Mul(
scalar
)

####

Normalize

DAVector3 Class

Creates a normalized DAVector3 object. The normalized vector has the same direction as the original vector, but the length is 1.

vector3Obj.Normalize

##### Return Values

Returns the DAVector3 object.

####

Transform

DAVector3 Class

Creates a DAVector3 object that is the result of applying the given transformation to the original vector. The translation elements of the transformation are ignored because translation does not apply to vectors.

vector3Obj.Transform(
xf
)

##### Parameters

xf
  A DATransform3 object.

##### Return Values

Returns the DAVector3 object.

##### Remarks

This function composes values. The resulting transformation is the new value applied to the old value.

### DAVector3 Properties

Length

LengthSquared

SphericalCoordLength

vector3Obj.SphericalCoordXYAngle

SphericalCoordYZAngle

X

Y

Z

####

Length

DAVector3 Class

A read-only property with a DANumber value that represents the length of a DAVector3 object.

vector3Obj.Length

##### See Also

LengthSquared

####

LengthSquared

DAVector3 Class

A read-only property with a DANumber value that represents the length of a DAVector3 object squared.

vector3Obj.LengthSquared

##### See Also

Length

####

SphericalCoordLength

DAVector3 Class

A read-only property with a DANumber value represents the length (or magnitude) of the vector.

vector3Obj.SphericalCoordLength

####

vector3Obj.SphericalCoordXYAngle

DAVector3 Class

A read-only property with a DANumber value that is the counter-clockwise angle, in radians, of the vector about the y-axis, starting at positive z. The range is [-Pi, +Pi].

vector3Obj.SphericalCoordXYAngle

####

SphericalCoordYZAngle

DAVector3 Class

A read-only property with a DANumber object that is the YZ angle, in radians, going up from the XZ-plane towards the positive y-ray. The range is [-Pi/2, +Pi/2].

vector3Obj.SphericalCoordYZAngle

####

X

DAVector3 Class

A read-only property with a DANumber value that represents the X-coordinate of the DAVector3 object.

vector3Obj.X

##### See Also

Y, Z, Vector3Anim

####

Y

DAVector3 Class

A read-only property with a DANumber value that represents the Y-coordinate of the DAVector3 object.

vector3Obj.Y

##### See Also

X, Z, Vector3Anim

####

Z

DAVector3 Class

A read-only property with a DANumber value that represents the z coordinate of the DAVector3 object.

vector3Obj.Z

##### See Also

X, Y, Vector3Anim

### Relevant Functions from the DAStatics Class

The following functions are defined in the DAStatics class and are most relevant to objects of type DAVector3.

lib.AddVector3(v1, v2)

lib.CrossVector3(v1, v2)

lib.DerivativeVector3(vec)

lib.DotVector3(v1, v2)

lib.IntegralVector3(vec)

lib.NegVector3(v1)

lib.SubVector3(v1, v2)

lib.Vector3Anim(x, y)

lib.Vector3(x, y)

lib.Vector3BSpline(degree, knots, control_elements, weights, evaluation)

lib.Vector3SphericalAnim(XYangle, YZangle, length)

lib.Vector3Spherical(XYangle, YZangle, length)

### Relevant Properties from the DAStatics Class

The following properties are defined in the DAStatics class and are most relevant to objects of type DAVector3.

lib.XVector3

lib.YVector3

lib.ZVector3

lib.ZeroVector3

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