# Question regarding practical SLERP

We are suppose to compute the quaternion which performs 1/5 of the rotation of this quaternion:

[ 0.965  (0.149  -0.149   0.149)]


The answer provided is shown as below:

Your answer omits what $q$ and $q_0$ are. I presume this is just a real linear combination of quaternions; in your peculiar notation: $$t[a\ \ (b\ \ c\ \ d)]+t'[a'\ \ (b'\ \ c'\ \ d')] =[ta+t'a'\ \ (tb+t'b'\ \ tc+t'c'\ \ td+t'd')].$$