calculate an angle and distance from three points

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bil bbil
bil bbil 2014-3-10
评论： Mansour Attaallah 2018-8-11
hi...How to calculate an angle and distance from three points? ex P1 = (x=2, y=50) P2 = (x=9, y=40) P3 = (x=5, y=20)
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Marta Salas
Marta Salas 2014-3-10
You can not define an angle and a distance between 3 points. Do you mean by pairs of those 3 points?

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Roger Stafford
Roger Stafford 2014-3-11
编辑：Roger Stafford 2014-3-11
I'll show you how to find one of the angles in the triangle P1 = [x1;y1], P2 = [x2;y2], P3 = [x3;y3]. The inner angle at vertex P1 is given by:
A1 = atan2(abs((x2-x1)*(y3-y1)-(x3-x1)*(y2-y1)), ...
(x2-x1)*(x3-x1)+(y2-y1)*(y3-y1));
As for the "distance", please tell us what kind of distance you have in mind. Distance from what to what?
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bil bbil
bil bbil 2014-3-11
first of all thank you very much. I'm looking for the distance between P1,P2 and P1,P3 for then stored in an array

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Marta Salas
Marta Salas 2014-3-11
The distance can be calculated as the norm of the vector between two points:
P1 = [2; 50], P2 = [9; 40], P3 = [5; 20]
d1 = norm(P2-P1);
d2 = norm(P3-P1);
distances =[d1; d2]

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