The discussion revolves around calculating the distance between two cities using their latitude and longitude coordinates, specifically focusing on the concept of displacement vectors in a three-dimensional space.
Some participants have suggested using vector subtraction and converting coordinates, while others are seeking clarification on the conversion process and the dimensionality of the coordinates needed. Multiple interpretations of the problem are being explored, particularly regarding the coordinate systems involved.
There is a focus on the Earth's radius as a constant in the calculations, and participants are discussing the implications of representing locations on a spherical surface in Cartesian coordinates. The original poster's question indicates a need for further understanding of the conversion process.
It's not just x-y coordinates; it's x-y-z coordinates that you need. The cities are on the surface of the earth, so they are one Earth's radius from its center. Lattitude and longitude give you the rest of the information you need to express the postions of the cities in terms of x-y-zcourtrigrad said:So if the question is: A man flies from Washington to Manilla. Find the magnitude of the displacement vector if the latitudes and longitudes are: 36 N, 70 E, 121 N, 56 W. You would have to convert the latitudes and longitudes into x-y coordinates? How would you do that?
Thanks