title: Quaternion and normalization
body: <p>I know that quaternions need to be normalized if I want to rotate a vector. </p>
  
  <p>But are there any reasons to not automatically normalize a quaternion? And if there are, what quaternion operations do result in non-normalized quaternions? </p>
  
  <ul>
  <li>Multiplying two quaternions?</li>
  <li>Dot product?</li>
  </ul>
  
  <p>Sorry, if this question is a little bit fuzzy. I'm still trying wrap my head around quaternions.</p>