Vector3D

class ansys.geometry.core.math.vector.Vector3D(shape, dtype=float, buffer=None, offset=0, strides=None, order=None)

Bases: numpy.ndarray

Provides for managing and creating a 3D vector.

Parameters:

inputndarray | RealSequence

3D numpy.ndarray class with shape(X,).

Overview

Constructors

from_points

Create a 3D vector from two distinct 3D points.

Methods

is_perpendicular_to	Check if this vector and another vector are perpendicular.
is_parallel_to	Check if this vector and another vector are parallel.
is_opposite	Check if this vector and another vector are opposite.
normalize	Return a normalized version of the 3D vector.
transform	Transform the 3D vector3D with a transformation matrix.
rotate_vector	Rotate a vector around a given axis by a specified angle.
get_angle_between	Get the angle between this 3D vector and another 3D vector.
cross	Return the cross product of Vector3D objects.

Properties

x	X coordinate of the Vector3D class.
y	Y coordinate of the Vector3D class.
z	Z coordinate of the Vector3D class.
norm	Norm of the vector.
magnitude	Norm of the vector.
is_zero	Check if all components of the 3D vector are zero.

Special methods

__eq__	Equals operator for the Vector3D class.
__ne__	Not equals operator for the Vector3D class.
__mul__	Overload * operator with dot product.
__mod__	Overload % operator with cross product.
__add__	Addition operation overload for 3D vectors.
__sub__	Subtraction operation overload for 3D vectors.

Import detail

from ansys.geometry.core.math.vector import Vector3D

Property detail

property Vector3D.x: ansys.geometry.core.typing.Real

X coordinate of the Vector3D class.

property Vector3D.y: ansys.geometry.core.typing.Real

Y coordinate of the Vector3D class.

property Vector3D.z: ansys.geometry.core.typing.Real

Z coordinate of the Vector3D class.

property Vector3D.norm: float

Norm of the vector.

property Vector3D.magnitude: float

Norm of the vector.

property Vector3D.is_zero: bool

Check if all components of the 3D vector are zero.

Method detail

Vector3D.is_perpendicular_to(other_vector: Vector3D) → bool

Check if this vector and another vector are perpendicular.

Vector3D.is_parallel_to(other_vector: Vector3D) → bool

Check if this vector and another vector are parallel.

Vector3D.is_opposite(other_vector: Vector3D) → bool

Check if this vector and another vector are opposite.

Vector3D.normalize() → Vector3D

Return a normalized version of the 3D vector.

Vector3D.transform(matrix: ansys.geometry.core.math.matrix.Matrix44) → Vector3D

Transform the 3D vector3D with a transformation matrix.

Parameters:

matrixMatrix44

4x4 transformation matrix to apply to the vector.

Returns:

Vector3D

A new 3D vector that is the transformed copy of the original 3D vector after applying the transformation matrix.

Notes

Transform the Vector3D object by applying the specified 4x4 transformation matrix and return a new Vector3D object representing the transformed vector.

Vector3D.rotate_vector(vector: Vector3D, angle: ansys.geometry.core.typing.Real | pint.Quantity | ansys.geometry.core.misc.measurements.Angle) → Vector3D

Rotate a vector around a given axis by a specified angle.

Vector3D.get_angle_between(v: Vector3D) → pint.Quantity

Get the angle between this 3D vector and another 3D vector.

Parameters:

vVector3D

Other 3D vector for computing the angle.

Returns:

Quantity

Angle between these two 3D vectors.

Vector3D.cross(v: Vector3D) → Vector3D

Return the cross product of Vector3D objects.

Vector3D.__eq__(other: Vector3D) → bool

Equals operator for the Vector3D class.

Vector3D.__ne__(other: Vector3D) → bool

Not equals operator for the Vector3D class.

Vector3D.__mul__(other: Vector3D | ansys.geometry.core.typing.Real) → Vector3D | ansys.geometry.core.typing.Real

Overload * operator with dot product.

Notes

This method also admits scalar multiplication.

Vector3D.__mod__(other: Vector3D) → Vector3D

Overload % operator with cross product.

Vector3D.__add__(other: Vector3D | ansys.geometry.core.math.point.Point3D) → Vector3D | ansys.geometry.core.math.point.Point3D

Addition operation overload for 3D vectors.

Vector3D.__sub__(other: Vector3D) → Vector3D

Subtraction operation overload for 3D vectors.

classmethod Vector3D.from_points(point_a: numpy.ndarray | ansys.geometry.core.typing.RealSequence | ansys.geometry.core.math.point.Point3D, point_b: numpy.ndarray | ansys.geometry.core.typing.RealSequence | ansys.geometry.core.math.point.Point3D)

Create a 3D vector from two distinct 3D points.

Parameters:

point_andarray | RealSequence | Point3D

Point3D class representing the first point.

point_bndarray | RealSequence | Point3D

Point3D class representing the second point.

Returns:

Vector3D

3D vector from point_a to point_b.

Notes

The resulting 3D vector is always expressed in Point3D base units.