in introduction to 3 dimensional geometry, Section Formula, whats the difference between dividing the line segment internally and dividing the line segment externally ?

let P(x1,y1,z1) and Q(x2,y2,z2) be two points in the space and let R be a point on the line segment joining P and Q such that it divides the join of PQ internally in the ratio m : n. then
the coordinates of R are : (mx2+nx1m+n,my2+ny1m+n,mz2+nz1m+n)

if P(x1,y1,z1) and Q(x2,y2,z2) be two points , and let R be a point on PQ produced dividing it externally in the ratio m : n.
then the coordinates of R are (mx2-nx1m-n,my2-ny1m-n,mz2-nz1m-n)

hope this helps you.

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