Finding distance between vectors

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The discussion focuses on calculating the distance between two vectors, $\vec{A}=2.15a\rho+6.25a\phi+3az$ and $\vec{B}=0.11a\rho+3.35a\phi+2az$, in a cylindrical polar orthonormal system. It clarifies that vectors do not possess a fixed position, thus emphasizing the need to interpret the problem as finding the distance from point A to point B. The recommended approach involves converting the cylindrical coordinates to Cartesian coordinates and applying the standard distance formula.

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Given $\vec{A}=2.15a\rho+6.25a\phi+3az$ and $\vec{B}=0.11a\rho+3.35a\phi+2az$. Determine the distance from $\vec{A}$ to $\vec{B}$.


what to do first?
 
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This question doesn't make a whole lot of sense. I am assuming you are dealing with a cylindrical polar orthonormal system, which is fine. But there is no such thing as finding "distances between vectors", because vectors do NOT have any position! All they have is direction and magnitude. That is why they can be picked up and moved anywhere you like.
 
maybe the problem is asking about a vector from A to B.
How can I do that?
 
You can convert cylindrical coordinates to Cartesian coordinates and use the standard formula for distance.
 

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