   Question about Point
  What does it mean to divide a point by another point? I have this intersection problem : Given the points P0 = (1.78; 2.13); P1 = (9.55, 18.47);Q0 = (2.11, 1.33);Q1 = (7.77, 22.19) and the following equations for two lines :P(t) = (1 - t)P0 + tP1, where 0 <= t <= 1Q(s) = (1 - s)Q0 + sQ1, where 0 <= s <= 1By setting them equal to each other and letting s = t, I get the following formula:t = (Q0 - P0) / (deltaP - deltaQ), where deltaP = P1-P0 and deltaQ = Q1-Q0.after that computation I got :Tx:  0.15639806Ty:  0.17699115plugging these values into P(t) and Q(s) I get the following result : Q(t), x =  2.995213Q(t), y =  5.0220356Q(s), x =  2.995213Q(s), y =  5.0220356So it seems that it effectively found the intersection point, but to me it doesnot make sense, since we are dividing a Point by another Point. Can someoneshed some light on this ?   
Quote:letting s = tWhy would you do that?   ;  The reason is because I wanted to find a single T such that P(T) = Q(T). If there is some intersection, its going to happen at some time t, meaningthat an intersection can only occur at the same time. Its kind of iffy statement,but right now I can't word it correctly.   ;  It's an incorrect statement. Consider P0=(-1,0), P1=(1,0), Q0=(0,-1), Q1=(0,3). Clearly these two lines intersect at (0,0), but the parameters are different: 0.5 and 0.25. Remember, "t" in the parametric equation of a line doesn't mean "time".   ;  Ya I see that. I am not completely sure though, but it worked out. Thats why I'mhoping someone can explain this. I'll think about it more in daytime, tomorrow.   ;  Dividing a point by another point makes no sense, unless some sort of multiplication of points is defined, as in an elliptic curve.   