- #26

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No. Unlearn this as fast as possible. We never say anything like this. You need to separate the notion of points from vectors. In a Euclidean space (or any other affine space) there is a bijection between the space itself and its tangent vector space. This is where the position vector comes in. However, in general, coordinates have little to do with vectors. ##(r,\theta,\phi)## is not a vector. It is a list of coordinates identifying a particular point. The position vector of this point is ##\vec x = r\hat r##, no component in the ##\hat\theta## or ##\hat\phi## directions (but note that ##\hat r## depends on both angular coordinates!)What I have found is that when we say "vector ##(r, \theta, \phi)##"