Vector3d

Vector3d struct

Represents the three components of a vector in three-dimensional space, using double -precision floating point numbers.

Derived Classes:

Namespace: Rhino.Geometry
Vector3d: references

Constructors (4)

Vector3d(double x, double y, double z)

Initializes a new instance of a vector, using its three components.

Vector3d(Point3d point)

Initializes a new instance of a vector, copying the three components from the three coordinates of a point.

Vector3d(Vector3d vector)

Initializes a new instance of a vector, copying the three components from a vector.

Vector3d(Vector3f vector)

Initializes a new instance of a vector, copying the three components from a single-precision vector.

Properties (16)

IsUnitVector

Gets a value indicating whether or not this is a unit vector. A unit vector has length 1.

IsValid

Gets a value indicating whether this vector is valid. A valid vector must be formed of valid component values for x, y and z.

IsZero

Gets a value indicating whether the X, Y, and Z values are all equal to 0.0.

Item

Gets or sets a vector component at the given index.

Length

Computes the length (or magnitude, or size) of this vector. This is an application of Pythagoras' theorem. If this vector is invalid, its length is considered 0.

MaximumCoordinate

Gets the largest (both positive and negative) component value in this vector, as an absolute value.

MinimumCoordinate

Gets the smallest (both positive and negative) component value in this vector.

SquareLength

Computes the squared length (or magnitude, or size) of this vector. This is an application of Pythagoras' theorem. While the Length property checks for input validity, this property does not. You should check validity in advance, if this vector can be invalid.

Unset

Gets the value of the vector with each component set to RhinoMath.UnsetValue.

Gets or sets the X (first) component of the vector.

XAxis

Gets the value of the vector with components 1,0,0.

Gets or sets the Y (second) component of the vector.

YAxis

Gets the value of the vector with components 0,1,0.

Gets or sets the Z (third) component of the vector.

ZAxis

Gets the value of the vector with components 0,0,1.

Zero

Gets the value of the vector with components 0,0,0.

Methods (33)

Add(Vector3d vector1, Vector3d vector2)

Sums up two vectors.
(Provided for languages that do not support operator overloading. You can use the + operator otherwise)

AreOrthogonal(Vector3d x, Vector3d y, Vector3d z)

Test whether three vectors describe an orthogonal axis system. All vectors must be mutually perpendicular this to be the case.

AreOrthonormal(Vector3d x, Vector3d y, Vector3d z)

Test whether three vectors describe an orthogonal, unit axis system. All vectors must be mutually perpendicular and have unit length for this to be the case.

AreRighthanded(Vector3d x, Vector3d y, Vector3d z)

Test whether three vectors describe a right-handed, orthogonal, unit axis system. The vectors must be orthonormal and follow the right-hand ordering; index-finger=x, middle-finger=y, thumb=z.

CompareTo(Vector3d other)

Compares this Vector3d with another Vector3d .
Component evaluation priority is first X, then Y, then Z.

CrossProduct(Vector3d a, Vector3d b)

Computes the cross product (or vector product, or exterior product) of two vectors.
This operation is not commutative.

Divide(Vector3d vector, double t)

Divides a Vector3d by a number, having the effect of shrinking it.
(Provided for languages that do not support operator overloading. You can use the / operator otherwise)

EpsilonEquals(Vector3d other, double epsilon)

Check that all values in other are within epsilon of the values in this

Equals(object obj)

Determines whether the specified System.Object is a Vector3d and has the same values as the present vector.

Equals(Vector3d vector)

Determines whether the specified vector has the same value as the present vector.

GetHashCode()

Computes the hash code for the current vector.

IsParallelTo(Vector3d other, double angleTolerance)

Determines whether this vector is parallel to another vector, within a provided tolerance.

IsParallelTo(Vector3d other)

Determines whether this vector is parallel to another vector, within one degree (within Pi / 180).

IsPerpendicularTo(Vector3d other, double angleTolerance)

Determines whether this vector is perpendicular to another vector, within a provided angle tolerance.

IsPerpendicularTo(Vector3d other)

Test to see whether this vector is perpendicular to within one degree of another one.

IsTiny()

Uses RhinoMath.ZeroTolerance for IsTiny calculation.

IsTiny(double tolerance)

Determines whether a vector is very short.

Multiply(double t, Vector3d vector)

Multiplies a vector by a number, having the effect of scaling it.
(Provided for languages that do not support operator overloading. You can use the * operator otherwise)

Multiply(Vector3d vector, double t)

Multiplies a vector by a number, having the effect of scaling it.
(Provided for languages that do not support operator overloading. You can use the * operator otherwise)

Multiply(Vector3d vector1, Vector3d vector2)

Multiplies two vectors together, returning the dot product (or inner product). This differs from the cross product.
(Provided for languages that do not support operator overloading. You can use the * operator otherwise)

Negate(Vector3d vector)

Computes the reversed vector.
(Provided for languages that do not support operator overloading. You can use the - unary operator otherwise)

PerpendicularTo(Point3d point0, Point3d point1, Point3d point2)

Set this vector to be perpendicular to a plane defined by 3 points.

PerpendicularTo(Vector3d other)

Sets this vector to be perpendicular to another vector. Result is not unitized.

Reverse()

Reverses this vector in place (reverses the direction).
If this vector is Invalid, no changes will occur and False will be returned.

Rotate(double angleRadians, Vector3d rotationAxis)

Rotates this vector around a given axis.

Subtract(Vector3d vector1, Vector3d vector2)

Subtracts the second vector from the first one.
(Provided for languages that do not support operator overloading. You can use the - operator otherwise)

ToString()

Returns the string representation of the current vector, in the form X,Y,Z.

ToString(string format,IFormatProvider formatProvider)

Transform(Transform transformation)

Transforms the vector in place.
The transformation matrix acts on the left of the vector; i.e.,
result = transformation*vector

Unitize()

Unitizes the vector in place. A unit vector has length 1 unit.
An invalid or zero length vector cannot be unitized.

VectorAngle(Vector3d a, Vector3d b, Plane plane)

Computes the angle on a plane between two vectors.

VectorAngle(Vector3d a, Vector3d b)

Compute the angle between two vectors.
This operation is commutative.

VectorAngle(Vector3d v1, Vector3d v2, Vector3d vNormal)

Computes the angle of v1, v2 with a normal vector.

Operators (13)

Computes the opposite vector.

Subtracts the second vector from the first one.

Determines whether two vectors have different values.

Multiplies two vectors together, returning the dot product (or inner product). This differs from the cross product.

Multiplies a vector by a number, having the effect of scaling it.

Divides a Vector3d by a number, having the effect of shrinking it.

Sums up two vectors.

Determines whether the first specified vector comes before (has inferior sorting value than) the second vector.
Components evaluation priority is first X, then Y, then Z.

Determines whether the first specified vector comes before (has inferior sorting value than) the second vector, or it is equal to it.
Components evaluation priority is first X, then Y, then Z.

Determines whether two vectors have the same value.

Determines whether the first specified vector comes after (has superior sorting value than) the second vector.
Components evaluation priority is first X, then Y, then Z.

Determines whether the first specified vector comes after (has superior sorting value than) the second vector, or it is equal to it.
Components evaluation priority is first X, then Y, then Z.

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