title: Flipping a quaternion from right to left handed coordinates
body: <p>I need to flip a quaternion from right:<br>
  <code>x = left to right<br>
  y = front to back<br>
  z = top to bottom</code></p>
  
  <p>to left handed coordinates where:<br>
  <code>x = left to right<br>
  y = top to bottom<br>
  z = front to back</code></p>
  
  <p>How would I go about doing this?</p>