vector3D.md

Vector3D API

Class

Vector3D(x=0.0, y=0.0, z=0.0)

Represents a 3D vector.

Initialization Parameters

• x: float | Vector3D | array-like
  • numeric: sets x value
  • Vector3D: copy constructor
  • length-3 array-like: interpreted as [x, y, z]
• y: float, default 0.0 (used when x is numeric)
• z: float, default 0.0 (used when x is numeric)

Common Operations

• v1 + v2, v1 - v2
• v * scalar, scalar * v
• element-wise v1 * v2
• v / scalar
• v ** scalar or element-wise with another Vector3D

Methods

• normalize()
  • In-place normalization to unit length when norm is non-zero.
• dot(other)
  • Dot product with Vector3D or length-3 np.ndarray.
• cross(other)
  • Cross product with Vector3D.
• rotate(r33)
  • Rotate using a 3x3 rotation matrix.
• sum()
  • Returns x + y + z.
• min(other), max(other)
  • Componentwise min/max with scalar or Vector3D.

Properties

• v.q -> Quaternion: pure quaternion [0, x, y, z].
• v.v -> np.ndarray: array [x, y, z].
• v.norm -> float: vector magnitude.
• v.isZero -> bool: near-zero check.

Notes

• Vector kernels can be accelerated by optional pyIMU._vcore.