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Catalogs Discussion Forums -> Analytical Geometry -> A problem on 'Points' -> Go to message
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Thanks a lot Krish,but,as pointed out in the question itself, one is not supposed to use the properties of straight lines.Anyway,thanks for the effort and the time that you spent.
Catalogs Discussion Forums -> Analytical Geometry -> A problem on 'Points' -> Go to message
This Post 0 points    (0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
5 replies   
If O is the origin, and if the coordinates of any two pts. P1and P2 are (x1 ,y1 ) and(x2 ,y2 ) respectively ,prove that
 
        OP1 .OP2 .cos P1OP2 = x1x2 + y1y2
 
Please do not use the properties of straight lines to solve this problem.
 
I would appreciate it very much anybody could give the full solution.
 
[Taken from ?The Elements Of  Coordinate Geometry? by S.L.Loney.]
 
Thanks.
 
 
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