Frequently Asked Questions
What is a quaternion?
A four-dimensional number w + xi + yj + zk that extends complex numbers, with three imaginary units i, j, k satisfying i squared equals j squared equals k squared equals i times j times k equals minus one. Useful for 3D rotations.
Why do games use quaternions?
Three numbers (Euler angles) suffer gimbal lock and are awkward to interpolate. Rotation matrices use nine numbers and drift after many multiplications. Unit quaternions use four numbers, never lock, and interpolate cleanly (Slerp).
Is quaternion multiplication commutative?
No. In general q times p is different from p times q. This non-commutativity is essential for representing 3D rotations.
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