Can a vector in spherical co-ordinates have a radius of 0.

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if so, what does that mean and can it be represented in Cartesian.

for example if I have a vector of in spherical $$ \vec{A} =0\hat{\rho} + 2\hat{\theta} + 0\hat{\phi} $$

can $\vec{A}$ be represented in cartesian?

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It should be the zero vector $\vec{0} = (0,0,0)^{T}$.