(Review: ) How do you compute a unit vector?

A good answer might be:

Divide a vector by its length


Projection Procedure

Rather than memorize the formula for projection, follow what it means step-by-step. To project w onto v:

  1. Compute the lengths:
    | w |  =  (w · w)
    | v |  =  (v · v)
  2. Compute the unit vectors:
    wu  =   w / | w |
    vu  =   v / | v |
  3. Compute the cosine of the angle between the vectors:
    wu · vu
  4. Assemble the projection:
    kv  =  | w | (wu · vu) vu


QUESTION 6:

Is w projected onto v the same vector as v projected onto w ?