Vector

Behavior

Constructs a point from {x, y, z} coordinates. Each axis value is provided as a separate number input. Default: X 0, Y 0, Z 0. Outputs a single Point. Accepts lists on any input - when list inputs are provided, produces one point per element using the active list matching mode. The most common starting node for defining positions in a model.

Inputs

X, Y, Z

Outputs

Point

Pairs With

Line, Circle, Move

Behavior

Extracts the x, y, and z coordinates from an input point.

Inputs

Point

Outputs

X, Y, Z

Pairs With

Construct Point, Point List Sort

Behavior

Returns the Euclidean distance between two points in 3D space.

Inputs

Point A, Point B

Outputs

Distance

Pairs With

Construct Point, Closest Point

Behavior

Collects multiple points into a single list output. Additional point inputs can be added via the node menu.

Inputs

Points

Outputs

Point List

Pairs With

Deconstruct Point, Point List Sort, Distance 2 Points

Behavior

Creates a point using cylindrical coordinates (radius, angle, height) instead of Cartesian x/y/z.

Inputs

Radius, Angle, Height

Outputs

Point

Pairs With

Construct Point, Deconstruct Point, Construct Plane

Behavior

Finds the closest point on a geometry to a given reference point, and returns both the closest point and the distance.

Inputs

Geometry, Point

Outputs

Closest Point, Distance

Pairs With

Construct Point, Pull Point

Behavior

Sorts a list of points based on their x, y, or z coordinate values.

Inputs

Points, Axis

Outputs

Sorted Points

Pairs With

Point List, Construct Point, Cull Duplicates

Behavior

Finds the single closest point in a point list to a reference point.

Inputs

Point, Point List

Outputs

Closest, Index

Pairs With

Construct Point, Distance 2 Points

Behavior

Finds the N closest points in a point list to a reference point.

Inputs

Point, Point List, Count

Outputs

Points, Indices

Pairs With

Point List Sort, Cull Duplicates

Behavior

Removes duplicate points from a list, keeping only unique positions.

Inputs

Points

Outputs

Unique Points

Pairs With

Point List, Construct Point

Behavior

Computes a point using barycentric coordinates relative to a triangle defined by three points.

Inputs

P1, P2, P3, U, V

Outputs

Point

Pairs With

Construct Point, Surface 4Pnt

Behavior

Creates a point at a specified distance along a vector direction from an origin point.

Inputs

Origin, Direction, Distance

Outputs

Point

Pairs With

Construct Plane, PlaneXY, Construct Point

Behavior

Creates a point using polar coordinates (radius, angle) on a given plane.

Inputs

Radius, Angle, Plane

Outputs

Point

Pairs With

Construct Plane, PlaneXY, Construct Point

Behavior

Projects a point onto a geometry, returning the closest point on that geometry's surface or curve.

Inputs

Point, Geometry

Outputs

Projected Point

Pairs With

Construct Point, Geometry Closest Point

Behavior

Returns a vector directed along the X axis (OX), with magnitude equal to the input value. The quickest way to create a horizontal direction vector. Input 10 → Vector {10, 0, 0}. Input -5 → Vector {-5, 0, 0} (reversed direction). Commonly wired into Move, Linear Array, or Extrude Curve to define X-direction operations. VectorY and VectorZ work identically for their respective axes.

Inputs

Magnitude

Outputs

Vector

Pairs With

Move, Linear Array, Extrude Curve

Behavior

Returns a vector along the Y axis with magnitude equal to the input value.

Inputs

Magnitude

Outputs

Vector

Pairs With

Move, Linear Array, Extrude Curve

Behavior

Returns a vector along the Z axis with magnitude equal to the input value.

Inputs

Magnitude

Outputs

Vector

Pairs With

Move, Linear Array, Extrude Curve

Behavior

Returns a vector from the origin with direction and magnitude defined by x, y, and z components.

Inputs

X, Y, Z

Outputs

Vector

Pairs With

Deconstruct Vector, Move, Amplitude Vector

Behavior

Creates a vector from the base point to the tip point. The third input optionally normalizes the result to unit length. Default: Point 1 {5,5,0}, Point 2 {10,10,0}. Outputs both the Vector and its Length. When the Boolean (unitize) input is true, the output vector is normalized to magnitude 1 while preserving direction. The Length output always returns the original (pre-normalization) distance between the points.

Inputs

Point 1, Point 2, Normalize

Outputs

Vector

Pairs With

Construct Point, Unit Vector, Move

Behavior

Separates a vector into its X, Y, and Z components.

Inputs

Vector

Outputs

X, Y, Z

Pairs With

Vector XYZ, VectorX, VectorY, VectorZ

Behavior

Normalizes the input vector to unit length (magnitude 1), preserving direction.

Inputs

Vector

Outputs

Unit Vector

Pairs With

Amplitude Vector, Vector XYZ

Behavior

Scales a vector to a specified magnitude while preserving its direction.

Inputs

Vector, Amplitude

Outputs

Vector

Pairs With

Unit Vector, Move

Behavior

Returns the angle between two vectors in radians.

Inputs

Vector A, Vector B

Outputs

Angle (rad)

Pairs With

Unit Vector, Dot Product, Vector By 2Pnt

Behavior

Returns the cross product of two vectors - a new vector perpendicular to both inputs. The result's magnitude equals the area of the parallelogram formed by the two input vectors. The direction follows the right-hand rule: curl fingers from A toward B, and the thumb points in the cross product direction. Swapping A and B reverses the output direction. If A and B are parallel, the cross product is a zero vector. Commonly used to find surface normals from two tangent directions.

Inputs

A, B

Outputs

Cross

Pairs With

Construct Plane, Plane By Normal, Unit Vector

Behavior

Returns the dot product (scalar product) of two vectors - a single number indicating how aligned they are. Dot product = 0 when vectors are perpendicular, positive when pointing in similar directions, negative when opposing. For unit vectors, the result equals the cosine of the angle between them. Commonly used to test parallelism, perpendicularity, or project one vector onto another.

Inputs

A, B

Outputs

Dot

Pairs With

Point List, Construct Point

Behavior

Adds two vectors component-wise.

Inputs

A, B

Outputs

Sum Vector

Pairs With

Vector XYZ, Vector Subtract, Move

Behavior

Subtracts vector B from vector A component-wise.

Inputs

A, B

Outputs

Difference Vector

Pairs With

Vector Add, Vector By 2Pnt

Behavior

Multiplies a vector by a scalar value, scaling its magnitude.

Inputs

Vector, Scalar

Outputs

Product Vector

Pairs With

Amplitude Vector, Unit Vector

Behavior

Divides a vector by a scalar value.

Inputs

Vector, Scalar

Outputs

Quotient Vector

Pairs With

Amplitude Vector, Unit Vector

Behavior

Reverses the direction of the input vector (multiplies by -1).

Inputs

Vector

Outputs

Reversed Vector

Pairs With

Angle Vectors, Unit Vector

Behavior

Rotates a vector around an axis by a specified angle.

Inputs

Vector, Axis, Angle

Outputs

Rotated Vector

Pairs With

Construct Plane, Rotate, Angle Vectors

Behavior

Returns the world XY plane (Z = 0).

Inputs

None

Outputs

Plane

Pairs With

Construct Plane, Rectangle Surface, Box By Center

Behavior

Returns the world XZ plane (Y = 0).

Inputs

None

Outputs

Plane

Pairs With

Construct Plane, Rectangle Surface, Extrude Curve

Behavior

Returns the world YZ plane (X = 0).

Inputs

None

Outputs

Plane

Pairs With

Construct Plane, Rectangle Surface, Extrude Curve

Behavior

Constructs a plane from an origin point and two directional vectors defining the X and Y axes. Default: Origin {0,0,0}. X and Y directions required. The Z axis (normal) is computed automatically as the cross product of X and Y. If X and Y are not perpendicular, the plane is still valid but the coordinate system will be non-orthogonal.

Inputs

Center, X Dir, Y Dir

Outputs

Plane

Pairs With

Construct Point, Vector XYZ, Plane By Normal

Behavior

Constructs a plane from a point and a normal vector.

Inputs

Point, Normal

Outputs

Plane

Pairs With

Construct Point, Vector XYZ, Unit Vector

Behavior

Extracts the origin point, X direction, Y direction, and normal from a plane.

Inputs

Plane

Outputs

Origin, X, Y, Normal

Pairs With

Construct Plane, PlaneXY

Behavior

Returns the origin point of a plane.

Inputs

Plane

Outputs

Origin

Pairs With

Construct Plane, Deconstruct Plane, Construct Point

Behavior

Reverses the normal direction of a plane.

Inputs

Plane

Outputs

Flipped

Pairs With

Construct Plane, PlaneXY, Reverse Vector

Behavior

Moves a plane along its normal direction by a specified distance.

Inputs

Plane, Distance

Outputs

Offset Plane

Pairs With

Construct Plane, PlaneXY, VectorZ

Behavior

Projects a point onto a plane, returning the closest point on that plane.

Inputs

Plane, Point

Outputs

Projected, Distance

Pairs With

Construct Point, Construct Plane, Pull Point

Behavior

Constructs a plane that contains a line and passes through a point.

Inputs

Line, Point

Outputs

Plane

Pairs With

Line, Construct Point, Construct Plane

Behavior

Constructs a plane that contains two lines.

Inputs

Line A, Line B

Outputs

Plane

Pairs With

Line, Construct Plane

Behavior

Constructs a plane from three non-collinear points.

Inputs

P1, P2, P3

Outputs

Plane

Pairs With

Construct Point, Construct Plane

Behavior

Rotates a plane around an axis by a specified angle.

Inputs

Plane, Angle, Axis

Outputs

Rotated Plane

Pairs With

Construct Plane, PlaneXY, Angle Vectors

Behavior

Adjusts a plane's origin and orientation by modifying its components.

Inputs

Plane, Origin, X Dir, Y Dir

Outputs

Adjusted

Pairs With

Construct Plane, Align Plane

Behavior

Aligns a plane's axes to match a target direction as closely as possible.

Inputs

Plane, Direction

Outputs

Aligned Plane

Pairs With

Vector XYZ, Flip Plane, Move

Behavior

Returns the coordinates of a point expressed in a plane's local coordinate system.

Inputs

Plane, Point

Outputs

U, V, W

Pairs With

Construct Plane, Construct Point