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How to determine vector between two lat/lon points

For all the math geniuses out there...given two lat/lon points (point A and point B), what is the simplest way to find the vector needed to reach point B from point A. For example, the vector needed ...
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Long/lat to tile row and column for a certain layer on EPSG:900913

I have a bunch of XYZ layers rendered in OpenLayers. I want to give a lon, lat and Z value and the system would return the X and Y location of the tile of that XYZ layer. I found the following 2 ...