How to find a vector A that has the same direction as ⟨−8,7,8⟩ but has length 3 ?
The idea is based on a concept of scaling and similarity.
Any vector that "has the same direction" as
All we need now is to find a scaling factor that leads to a vector with the length
The length of a vector with coordinates
So, if we want the length to be equal to
The coordinates of a vector with the same direction as