title: Normalized vector cross product non-zero vector (unnormalized vector)
body: <p>It is clear to me that if we cross product two vectors, let say AxB then we will get a new vector C that perpendicular to A and B (either in the positive or negative position).
  That's OK!
  Also, it's clear to me the differences between unit vector and non-zero vector.
  The unit vector is the result of normalizing a non-zero vector and we can say the unit vector is the vector divided by its length.</p>
  
  <p>My question is:</p>
  
  <p>If we have two vectors, one of them is a unit vector and the other one is a non-zero vector.
  Let say A is the unit vector and B is the non-zero vector in this example.</p>
  
  <ul>
  <li>Can we cross product them (unit vector x non-zero vector)? Or we must
  normalize the non-zero vector?</li>
  </ul>
  
  <p>If we must normalize the non-zero vector. Why must we do so?</p>