Class Vector3d

Represents a 3D Vector entity.

Inheritance
System.Object
BasePoint
Vector3d
Inherited Members
Namespace: Paramdigma.Core.Geometry
Assembly: Paramdigma.Core.dll
Syntax
public class Vector3d : BasePoint

Constructors

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Vector3d()

Initializes a new instance of the Vector3d class.

Declaration
public Vector3d()
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Vector3d(Point3d)

Initializes a new instance of the Vector3d class from a v.

Declaration
public Vector3d(Point3d point)
Parameters
Type Name Description
Point3d point

Point to copy values from.
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Vector3d(Vector3d)

Initializes a new instance of the Vector3d class with the same values as the provided vector.

Declaration
public Vector3d(Vector3d vector)
Parameters
Type Name Description
Vector3d vector

Vector to copy values from.
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Vector3d(Double, Double, Double)

Initializes a new instance of the Vector3d class given it's 3 coordinates.

Declaration
public Vector3d(double xCoord, double yCoord, double zCoord)
Parameters
Type Name Description
System.Double xCoord

X coordinate.
System.Double yCoord

Y coordinate.
System.Double zCoord

Z coordinate.

Properties

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Length

Gets the Euclidean length of this vector.

Declaration
public double Length { get; }
Property Value
Type Description
System.Double

Length of the vector.
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LengthSquared

Gets the Euclidean length squared of this vector.

Declaration
public double LengthSquared { get; }
Property Value
Type Description
System.Double

Squared Length of the vector.
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UnitX

Gets a vector of unit length in the X direction.

Declaration
public static Vector3d UnitX { get; }
Property Value
Type Description
Vector3d

Vector {1,0,0}.
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UnitY

Gets a vector of unit length in the Y direction.

Declaration
public static Vector3d UnitY { get; }
Property Value
Type Description
Vector3d

Vector {0,1,0}.
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UnitZ

Gets a vector of unit length in the Z direction.

Declaration
public static Vector3d UnitZ { get; }
Property Value
Type Description
Vector3d

Vector {0,1,0}.

Methods

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Angle(Vector3d, Vector3d)

Computes the angle in Radians between two given vectors Angle = Arcosine of the CrossProduct of UxV divided with their multiplied lengths.

Declaration
public static double Angle(Vector3d u, Vector3d v)
Parameters
Type Name Description
Vector3d u

First vector.
Vector3d v

Second vector.
Returns
Type Description
System.Double

Angle formed between u and v.
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Cross(Vector3d)

Returns the cross product of this vector and v.

Declaration
public Vector3d Cross(Vector3d v)
Parameters
Type Name Description
Vector3d v

Vector.
Returns
Type Description
Vector3d

Cross product vector.
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CrossProduct(Vector3d, Vector3d)

Computes the vector product (cross product) of two given vectors Cross product = { u2 * v3 - u3 * v2; u3 * v1 - u1 * v3; u1 * v2 - u2 * v1 }.

Declaration
public static Vector3d CrossProduct(Vector3d u, Vector3d v)
Parameters
Type Name Description
Vector3d u

First vector.
Vector3d v

Second vector.
Returns
Type Description
Vector3d

Vector result of the cross product.
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Dot(Vector3d)

Computes the dot product of this vector and v.

Declaration
public double Dot(Vector3d v)
Parameters
Type Name Description
Vector3d v

Vector.
Returns
Type Description
System.Double

Dot product.
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DotProduct(Vector3d, Vector3d)

Gets the scalar product (dot product) of two given vectors Dot product = u1v1 + u2v2 + u3*v3.

Declaration
public static double DotProduct(Vector3d u, Vector3d v)
Parameters
Type Name Description
Vector3d u

First vector.
Vector3d v

Second vector.
Returns
Type Description
System.Double

Numerical value of the dot product.
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ToString()

Converts a vector into a string.

Declaration
public override string ToString()
Returns
Type Description
System.String

Returns a string representation of this vector.
Overrides
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Unit()

Returns a normalized copy of this vector.

Declaration
public Vector3d Unit()
Returns
Type Description
Vector3d

A copy of this vector unitized.
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Unitize()

Divides this vector by it's euclidean length.

Declaration
public void Unitize()

Operators

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Addition(Vector3d, Vector3d)

Adds one vector to another.

Declaration
public static Vector3d operator +(Vector3d v, Vector3d v2)
Parameters
Type Name Description
Vector3d v

First vector to add.
Vector3d v2

Second vector to add.
Returns
Type Description
Vector3d

New vector entity with the result of the addition.
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Division(Vector3d, Double)

Divide a vector by a number.

Declaration
public static Vector3d operator /(Vector3d v, double scalar)
Parameters
Type Name Description
Vector3d v

Vector to be divided.
System.Double scalar

Number to be divided by.
Returns
Type Description
Vector3d

New vector entity with the result of the division.
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Equality(Vector3d, Vector3d)

Checks if two vectors are equal.

Declaration
public static bool operator ==(Vector3d v, Vector3d w)
Parameters
Type Name Description
Vector3d v

First vector.
Vector3d w

Second vector.
Returns
Type Description
System.Boolean

Result of the comparison between v and w.
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Inequality(Vector3d, Vector3d)

Checks if two vectors are not equal.

Declaration
public static bool operator !=(Vector3d v, Vector3d w)
Parameters
Type Name Description
Vector3d v

First vector.
Vector3d w

Second vector.
Returns
Type Description
System.Boolean

Result of the comparison between v and w.
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Multiply(Vector3d, Double)

Multiply one vector by a number.

Declaration
public static Vector3d operator *(Vector3d v, double scalar)
Parameters
Type Name Description
Vector3d v

Vector to multiply.
System.Double scalar

Number to multiply with.
Returns
Type Description
Vector3d

New vector entity with the result of the multiplication.
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Multiply(Double, Vector3d)

Multiply one vector by a number.

Declaration
public static Vector3d operator *(double scalar, Vector3d v)
Parameters
Type Name Description
System.Double scalar

Number to multiply with.
Vector3d v

Vector to multiply.
Returns
Type Description
Vector3d

New vector entity with the result of the multiplication.
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Subtraction(Vector3d, Vector3d)

Substracts one vector from another.

Declaration
public static Vector3d operator -(Vector3d v, Vector3d v2)
Parameters
Type Name Description
Vector3d v

Vector to substract from.
Vector3d v2

Vector to be substracted.
Returns
Type Description
Vector3d

New vector entity with the result of the substraction.
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UnaryNegation(Vector3d)

Negate a vector.

Declaration
public static Vector3d operator -(Vector3d v)
Parameters
Type Name Description
Vector3d v

Vector to negate.
Returns
Type Description
Vector3d

New vector entity with all the values negated.