I have 2 vectors, and each defined by 3 coordinates: radius, azimuth and zenith How i can sum it? Help me pls guys. What i have done: I found azimuth and zenith of resultant vector, by decomposition to 2 polar vectors And it gave me 2 radiuses: radius of resultant vector for azimuth polar sum and radius of resultant vector of zenith polar sum. What can i do with them?
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you want to do vector addition on spherical coordinates? – S L May 11 '14 at 08:43
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Santosh Linkha, yes you right – Dr. Lemon Tea May 11 '14 at 09:10
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Spherical coordinates are the worst thing you can use if you want to add or subtract vectors. The reason is that addition is a linear operation, while spherical coordinates are really non-linear. Already in 2D, you must invoke some trigonometrical formula to find the angle of $u+v$ when you known the vectors $u$ and $v$. In 3D the situation is even worse.
Probably, the quickest solution is to convert coordinates to usual cartesian coordinates, do the addition, and convert back to polar coordinates. See also this discussion.
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but i hope that it's possible to take solution without cartesian, i have found 2 angles - is a 2/3 of total vector – Dr. Lemon Tea May 11 '14 at 09:27