The discussion focuses on converting Cartesian coordinates to spherical coordinates, specifically addressing the correct formulation of the position vector in spherical coordinates. The correct expressions are established as: r = √(x² + y² + z²), θ = arctan(y/x), and φ = arccos(z/r). The position vector is accurately represented as vec r = r * hat r, with hat θ and hat φ being orthogonal to the radial direction and not contributing to the position vector. Participants emphasize the importance of understanding the relationship between Cartesian and spherical unit vectors.
Students and professionals in mathematics, physics, and engineering who require a solid understanding of coordinate transformations, particularly in applications involving three-dimensional space.
Philosophaie said:What is different?
Does x,y,z not equal r,theta,phi in post #29?
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.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.