Finding intersection of two infinitely long lines using points

Asked Jul 09 '15 at 06:46

Active Jul 09 '15 at 07:47

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EDITED

In the Find intersection of pairs of straight lines problem, it is assumed that line are intersected by default and the purpose is to find the intersection points. In the present problem, two lines are completely separated as bellows:

enter image description here

The coordinates of the lines are :

Line1={{0,0},{1,1}};
Line2={{7,0},{5,3}};

How is it possible to calculate the coordinates of the intersection point of these two lines and plot it?

Thank you in advance.

edited Apr 13 '17 at 12:56

Community

asked Jul 09 '15 at 06:46

Shellp

2

Do you know the math involved? – Dr. belisarius Jul 09 '15 at 06:52
I see a challenge here to provide a formulation in Mathematica in vector symbols only, i.e. no components should appear. Still busy trying to find it ... – Dr. Wolfgang Hintze Jul 09 '15 at 08:00
@Dr. Wolfgang, the answer I posted in the linked dupe does precisely that. – J. M.'s missing motivation Jul 09 '15 at 08:01

Finding intersection of two infinitely long lines using points

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