Vector3d Structure 
Namespace: Rhino.Geometry
The Vector3d type exposes the following members.
Name  Description  

Vector3d(Point3d) 
Initializes a new instance of a vector, copying the three components from the three coordinates of a point.
 
Vector3d(Vector3d) 
Initializes a new instance of a vector, copying the three components from a vector.
 
Vector3d(Vector3f) 
Initializes a new instance of a vector, copying the three components from a singleprecision vector.
 
Vector3d(Double, Double, Double) 
Initializes a new instance of a vector, using its three components.

Name  Description  

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.
 
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.
 
X 
Gets or sets the X (first) component of the vector.
 
XAxis 
Gets the value of the vector with components 1,0,0.
 
Y 
Gets or sets the Y (second) component of the vector.
 
YAxis 
Gets the value of the vector with components 0,1,0.
 
Z 
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.

Name  Description  

Add 
Sums up two vectors.
(Provided for languages that do not support operator overloading. You can use the + operator otherwise)  
AreOrthogonal 
Test whether three vectors describe an orthogonal axis system.
All vectors must be mutually perpendicular this to be the case.
 
AreOrthonormal 
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 
Test whether three vectors describe a righthanded, orthogonal, unit axis system.
The vectors must be orthonormal and follow the righthand ordering; indexfinger=x,
middlefinger=y, thumb=z.
 
CompareTo 
Compares this Vector3d with another Vector3d.
Component evaluation priority is first X, then Y, then Z.  
CrossProduct 
Computes the cross product (or vector product, or exterior product) of two vectors.
This operation is not commutative.  
Divide 
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 
Check that all values in other are within epsilon of the values in this
 
Equals(Object) 
Determines whether the specified System.Object is a Vector3d and has the same values as the present vector.
(Overrides ValueTypeEquals(Object).)  
Equals(Vector3d) 
Determines whether the specified vector has the same value as the present vector.
 
GetHashCode 
Computes the hash code for the current vector.
(Overrides ValueTypeGetHashCode.)  
GetType  Gets the Type of the current instance. (Inherited from Object.)  
IsParallelTo(Vector3d) 
Determines whether this vector is parallel to another vector, within one degree (within Pi / 180).
 
IsParallelTo(Vector3d, Double) 
Determines whether this vector is parallel to another vector, within a provided tolerance.
 
IsPerpendicularTo(Vector3d) 
Test to see whether this vector is perpendicular to within one degree of another one.
 
IsPerpendicularTo(Vector3d, Double) 
Determines whether this vector is perpendicular to another vector, within a provided angle tolerance.
 
IsTiny 
Uses RhinoMath.ZeroTolerance for IsTiny calculation.
 
IsTiny(Double) 
Determines whether a vector is very short.
 
Multiply(Double, Vector3d) 
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, Vector3d) 
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)  
Multiply(Vector3d, Double) 
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)  
Negate 
Computes the reversed vector.
(Provided for languages that do not support operator overloading. You can use the  unary operator otherwise)  
PerpendicularTo 
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 
Rotates this vector around a given axis.
 
Subtract 
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.
(Overrides ValueTypeToString.)  
ToString(String, IFormatProvider)  Formats the value of the current instance using the specified format.  
Transform 
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, Vector3d) 
Compute the angle between two vectors.
This operation is commutative.  
VectorAngle(Vector3d, Vector3d, Plane) 
Computes the angle on a plane between two vectors.
 
VectorAngle(Vector3d, Vector3d, Vector3d) 
Computes the angle of v1, v2 with a normal vector.

Name  Description  

Addition 
Sums up two vectors.
 
Division 
Divides a Vector3d by a number, having the effect of shrinking it.
 
Equality 
Determines whether two vectors have the same value.
 
GreaterThan 
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.  
GreaterThanOrEqual 
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.  
(Vector3f to Vector3d) 
Converts a singleprecision (float) vector in a doubleprecision vector, without needing casting.
 
Inequality 
Determines whether two vectors have different values.
 
LessThan 
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.  
LessThanOrEqual 
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.  
Multiply(Double, Vector3d) 
Multiplies a vector by a number, having the effect of scaling it.
 
Multiply(Vector3d, Vector3d) 
Multiplies two vectors together, returning the dot product (or inner product).
This differs from the cross product.
 
Multiply(Vector3d, Double) 
Multiplies a vector by a number, having the effect of scaling it.
 
Subtraction 
Subtracts the second vector from the first one.
 
UnaryNegation 
Computes the opposite vector.
