## Basic Vector Calculus

Hi all,

Say I have a vector in spherical coordinates:

$$\vec r_1 = \phi \hat{\phi} + \theta \hat{\theta} + R \hat{R}$$

Where $$r, \theta, R$$ are scalars and the corresponding hat notation is the unit vectors.

Say, I form a new vector $$r_2$$ 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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