You can use the dot product to determine if two vectors are parallel by seeing if their dot product is = 1. What about if they are parallel but point in the opposite direction? Would the dot product just equal -1 in this case?

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delalbaef · Accepted Answer

Step 1The dot product relates directly to the angle between two vectors.More specifically, one can define the following:  c  o  s  (  θ  )  :=            v      ⋅      u              ‖      v      ‖      ‖      u      ‖      Where   θ is the angle between v and u.Thus, you can see that   θ relates directly to   v  ⋅  u , assuming we don&#039;t change the norms of v or u. In the more specific case when v,u are unit vectors, the relation becomes:  c  o  s  (  θ  )  =  v  ⋅  uWhich shows this correlation even more clearly.

You can use the dot product to determine if two

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