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The discussion revolves around understanding the position vectors r_{n} and r_{a} in relation to the origin. It clarifies that r_{n} and r_{a} represent positions from the origin, while r is defined as the difference between these two vectors. Participants suggest reviewing materials on vector subtraction to grasp the concept better. The distinction between the head and tail of the displacement vector is emphasized, noting that r = r_{a} - r_{b}. The thread aims to assist in clarifying these vector relationships for better comprehension.
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i uploaded it i can't figure out r subscript n i have no idea can someone help me its my last try thanks
 

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It says that r_{n} and r_{a} give the position with respect to the origin, while r is a relative position vector.

So what vectors would r_{n} and r_{a} be if they start at the origin? Where would the end of those vectors lie? Given that r = r_{n} - r_{a}.
If the answer isn't obvious then review material on graphically subtracting vectors.
 
i only have the vector sum though and i don't have those two vectors
 
Note that in a displacement vector r = ra - rb

ra is the vector from origin to head of the vector r
and rb is vector from origin to tail of vector r
 
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