- #1

ryan001

- 13

- 0

## Homework Statement

hi

I have read a lot on homogenous coordinates

and I feel like I now have a solid foundation.

However none of the videos or books I have read give an explicit reason as to why translation with the extra dimension works(i.e. it does not result in scaling).

Here 's what I have come up with. The extra dimension allows for the entire plane to be moved as a whole i.e. instead of moving the vectors within the plane in which they exist the extra coordinate moves the entire plane in the dimension in which it exists. This then results in a translation.

Is this wrong? If so, why does translation work with the extra dimension?

Why does translation result in scaling without the extra dimension?

## Homework Equations

none

## The Attempt at a Solution

Here 's what I have come up with. The extra dimension allows for the entire plane to be moved as a whole i.e. instead of moving the vectors within the plane in which they exist the extra coordinate moves the entire plane in the dimension in which it exists. This then results in a translation.

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