Krasjet / quaternion

A brief introduction to the quaternions and its applications in 3D geometry.
https://krasjet.github.io/quaternion/
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請問四元數一個證明q*q=qq* #16

Closed Sketh closed 5 years ago

Sketh commented 5 years ago

因为 (q ∗ ) ∗ = [s, −(−v)] = [s, v] = q, q ∗ q = (q ∗ )(q ∗ ) ∗ = ∥q ∗ ∥ 2 = s 2 + x 2 + y 2 + z 2 = ∥q∥ 2 = qq∗ 所以我们得到,q ∗ q = qq∗.这个特殊的乘法是遵守交换律的.

請問為甚麼在q = (q ∗ )(q ∗ ) ∗ = ∥q ∗ ∥ 2 這裡的時候最後結果有一個共軛符號消失了