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Apply TodayThis Challenge is to determine the minimum distance from a 2-D line segment defined by two points to a point.

The point is (px,py) and the segment is [(vx,vy) to (wx,wy)].

Input are the three defining points and the output is distance.

**Input (px py vx vy wx wy):** 1 1 0 3 3 0

**Output distance:** .7071

Point is beyond perpendicular to segment.

**Input (px py vx vy wx wy):** 4 3 -100 0 0 0

**Output distance:** 5

Follow Up Challenges:

19 correct solutions
29 incorrect solutions

Last solution submitted on Dec 23, 2014

1 player likes this problem

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Richard Zapor
on 15 Jun 2013

Solid calculus dot product exact geometric solution.

4 players like this solution

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Richard Zapor
on 23 Apr 2013

Crushed by Tim, once again.

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