I Convert from rectangular to Spherical Coordinates

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The discussion centers on the conversion from Cartesian to spherical coordinates, focusing on the correct representation of the position vector. The correct spherical coordinates are defined as r = √(x² + y² + z²), θ = arctan(y/x), and φ = arccos(z/r). It is clarified that the position vector in spherical coordinates should be expressed as \vec r = r \hat r, with \hat r representing the radial direction, while the angular components θ and φ do not contribute directly to the vector's direction. Participants emphasize the importance of understanding the distinction between scalar angles and vector directions in spherical coordinates. Ultimately, the correct conclusion is reached that the position vector is solely defined by the radial component, r, in the direction of \hat r.
  • #31
Philosophaie said:
What is different?
Does x,y,z not equal r,theta,phi in post #29?

Several of us have already explained to you several times what is wrong with your thinking. You need to go back and read the posts above carefully.
 
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  • #32
No one explained to me that all the direction that I needed was give to me was in ##\hat r##. Thank you everyone trying to make me come to this conclusion.
 
  • #33
Philosophaie said:
No one explained to me that all the direction that I needed was give to me was in ##\hat r##. Thank you everyone trying to make me come to this conclusion.

Posts 19, 21, and 24 all told you that the position vector \vec r = r * \hat r . I'm glad you finally arrived at the correct conclusion.
 
  • #34
Philosophaie said:
No one explained to me that all the direction that I needed was give to me was in ##\hat r##. Thank you everyone trying to make me come to this conclusion.
No, from the beginning everybody posting in this thread tried to tell you that you could not just assume that and help you figure it out for yourself. Then, finally, it was put explicitly in post #19.
 

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