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Would someone please re-enlighten me.

Say I have a vector in spherical coordinates:

[tex]\vec r_1 = \phi \hat{\phi} + \theta \hat{\theta} + R \hat{R}[/tex]

Where [tex] r, \theta, R [/tex] are scalars and the corresponding hat notation is the unit vectors.

Say, I form a new vector [tex] r_2 [/tex] in spherical coordinates.

Would the distance from r_1 to r_2 be given by the norm of r_2-r_1.

What I'm trying to ask is this:

1) In rectangular coordinates I can find the vector from one point to another, via V_ab = V_b - V_a

2) If I have two vectors in spherical coordinates, can I find the distance from one point to another with subtraction? Or do I need to convert the spherical vectors to rectangular, and then perform the subtraction.

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# Basic Vector Calculus

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