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For example we have line $A$ with coordinates $(0, 1, 10, 9)$;

And we need to divide this line by $3$ (so we have now $A_1, A_2$ and $A_3$), where $A_1 + A_2 + A_3 = A$; Is there equation, to find coordinates of $A_1, A_2$ and $A_3$ points?

With best regards

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I think, for A1 its (10 - 0)/3, (9-1) / 3; – JohnDow Feb 23 '13 at 13:49
What coordinates do you use for a line? It looks as if your coordinates describe a line segment in the plane by giving coordinates for its two end points. If so, in which order do you use them. Also, why do you want three points $A_i$ which add up to a line? If you want three four-element vectors that add up to a line, I'd interpret each such vector as a line in its own right. – MvG Feb 25 '13 at 6:08

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