Intuitively, what does q bar mean? You said it was a reflection, but across what axes?
How do we know that the cross product of the reflection of q and q is a rotation?
For the operation q_bar, do we inverse every imaginary element of q?
How can we determine the direction of the rotation here?
Why do quaternions not have a gimbal-lock?
Why do we multiply the x with the q and the q_bar? Is there a geometric meaning in this?
Why do we need to multiply by q bar and what is the significance of q bar/ negating the imaginary component?
How do we know that the quaternion cross product definition on the previous slide represents a rotation? Is there any geometric meaning that we can see from the formula?
What does q bar represent? How is this a rotation?
Why do we take Imaginary part of H out instead of the whole part of H?