unity-3d-math

Prevent gimbal lock in Unity by interpolating rotations with Quaternion.Slerp instead of directly modifying Euler angles, which ensures smooth and precise spatial reasoning.

TransformPoint, TransformDirection, and TransformVector differ in how they apply coordinate space transformations: TransformPoint includes translation and scale, TransformDirection ignores scale but respects rotation for directions, and TransformVector applies rotation and scale without translation.

Perform reliable floating-point comparisons in Unity by using Mathf.Approximately for scalar values and comparing sqrMagnitude instead of magnitude to avoid square root precision errors and improve performance.

Quaternion.LookRotation fails on a zero vector in Unity because it cannot determine a forward direction, requiring you to check for zero-vector issues and provide a valid fallback vector before calling the method.

Use Vector3.SignedAngle for directional checks in Unity when you need to know the rotational side, as Vector3.Angle only returns the unsigned acute angle between two vectors, which is incorrect for full spatial reasoning.

The correct quaternion multiplication order in Unity depends on whether you apply local or world rotations, requiring careful sequencing of quaternion operations to ensure the expected coordinate space transformations are achieved.