How to add two vectors in polar coordinates
 
  
 
  
 
 
 
 
 
 
    
        
        asked 3 years ago  
 
 grante gravatar image  
 
 
 
 
 
Hello,
 
I wish to be able to add two polar vectors and get the result as a function of r1, r2, phi1, and phi2 
 
The result is shown in: math.stackexchange.com/questions/1365622/adding-two-polar-vectors
 
Is this possible using SageMath ?  
 
I tried to do this using the 3D Euclidean space for cylindrical coordinates in SageMath but could not get the result.  
 
Thanks, Grant
 
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Comments
What exactly are you looking for? The math.stackexchange page that you cited gives formulas, and those are easy to write in Sagemath. I wouldn't expect this to be built in, but just do r = sqrt(r1^2 + r2^2 + 2*r1*r2*cos(phi2-phi1)) and similarly phi = phi1 + atan2(...).
John Palmieri gravatar imageJohn Palmieri (
    
        3 years ago
    )
I wish to actually calculate the r & phi symbolically as it is shown in the math.stackexchange page given the r1, phi1 and r2, phi2 in polar coordinates.  
I do not know if SageMath can do this --- perhaps, it is possible using the vector calculus in the Euclidean Space.
Thanks!
grante gravatar imagegrante (
    
        3 years ago
    )
1
Wouldn't it be easier to convert coordinates to Cartesian, perform the addition, and then convert the result back to polar? Sage provides a bunch of conversion functions - see https://doc.sagemath.org/html/en/them...
Max Alekseyev gravatar imageMax Alekseyev (
    
        3 years ago
    )
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