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Easy way to obtain spherical coordinate system speed vector

  Professional translation is mistranslation, not many. I'm sorry. " I think. Therefore I am. " Renee Descartes, a French physicist, mathematician and philosopher, mathematically mathematically defined the space of the world in her book Geometry. This is called Cartesian coordinate system or orthogonal coordinate system. Cartesian coordinate systems allow us to accurately represent the position of an object in numbers.  Divide the space into the X-axis, the Y-axis, and the z-axis, and then mark the distance for each axis. However, there are other ways to indicate the position of the object. Alternatively, you can display the position vector  as the sum of units vectors of size 1 and each axis direction. The direct election from origin to object is defined as r. The angle from the reference plane to the straight line is defined as θ. Define the angle of the plane perpendicular to the reference plane as Φ. You can then mark the position of the object as the coordinates of r...