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**What exactly is a position vector???**

Does a position vector ALWAYS have it's initial point at the origin (0,0)? What if there was an equivalent vector from P1 (NOT the origin) to P2 that has the same magnitude and direction as a vector with its initial point at the origin? Obviously these vectors would be equal, but would that mean the 1st vector that DIDN'T have its initial point at (0,0) is a position vector as well?

Thanks