- Earlier we defined the difference between vectors and coordinates:
- These represent fixed locations in space.
- These represent fixed change.
- Position vectors are vectors that represent fixed locations in space.
- They represent the vector needed to get from the origin to a specific location.
- For example, the vector needed to get from the origin (0,0) to (1, 2) is:
- Position vectors differ from coordinates in that they have the ability to be transformed:
- While it is possible to translate a coordinate, it doesn't make much sense to scale or rotate it.
- Because position vectors are relative to the origin, they can be rotated and scaled, as well as translated.