I am thinking how this formula could prove that Quaternion product is not commutative. Go back to the geographic definition of i, j and k. For ij, it means rotating j 1 quarter around i axes, which is k. For ji, it means rotating i 1 quarter around j axes, which is -k.
VegitableChicken
How can we understand the quaternion product visually? What does it mean to computer graphics?
supernova
So can I understand Quaternion product as cross product, like the difference between ij and ji is that their directions are inverse?
Zhuoqian
Some intuitive visualizations of quaternions can be seen in this 3Blue1Brown video: https://www.youtube.com/watch?v=d4EgbgTm0Bg. There is a series of videos on this: https://eater.net/quaternions.
I am thinking how this formula could prove that Quaternion product is not commutative. Go back to the geographic definition of i, j and k. For ij, it means rotating j 1 quarter around i axes, which is k. For ji, it means rotating i 1 quarter around j axes, which is -k.
How can we understand the quaternion product visually? What does it mean to computer graphics?
So can I understand Quaternion product as cross product, like the difference between ij and ji is that their directions are inverse?
Some intuitive visualizations of quaternions can be seen in this 3Blue1Brown video: https://www.youtube.com/watch?v=d4EgbgTm0Bg. There is a series of videos on this: https://eater.net/quaternions.