Is there anyway to use the closest facility analysis tool from Network analyst without actually having a network (streets) layer which means without using the network analyst? Because I want to find out the distances from each point to every other point based on straight line Euclidean distances.
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1What you are looking for is called Spider diagram or Desire lines. There are functions for this in both ArcMap, QGIS, ET Geowizards and more. – Martin Jul 8 '16 at 8:58
In your question you explicitly state you want to find the distance and not the actual line geometry. If you have an Advanced level license for ArcMap you can use the Point Distance tool or Generate Near Table.