for unit quaternions used to represent rotations for 3D prov...

Question

for unit quaternions used to represent rotations for 3D provethat   a)...

Accepted Answer

We first solve this using a grouptheoretic approach The group is isomorphicto the quaternions of unit norm via the following map Now identify withthe span of Now if and then And we know from the properties of quaternions that is arotation of This is true because is the doublecover of whichrepresents rotation of a Now note that if then the composition of these rotations is Let Then the composition is And hence the result follows b Now mapping we have which is just the same rotation as before And the resultfollows The following is matrix based approach Given a unit quaternion ....

for unit quaternions used to represent rotations for 3D prove that : a) quaternion conjugate corresponds to...

60.1K

Verified Solution

Question

Advance Math

Answer & Explanation Solved by verified expert

Get Answers to Unlimited Questions

Membership Benefits:

Other questions asked by students