Quaternion and normalization

Question

I know that quaternions need to be normalized if I want to rotate a vector.

But are there any reasons to not automatically normalize a quaternion? And if there are,

Answer 1

your question is ambigious but if u need to normalize a quaternion is simple

q_normalized = q /square(norm(q))

with, q = q1 +q2i +q3 j +q4 k norm (q) = (q1)^2 + (q2)^2 + (q3)^2) + (q4)^4

if else explain to me your question