calculate an angle and distance from three points

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bil bbil
bil bbil am 10 Mär. 2014
Kommentiert: Mansour Attaallah am 11 Aug. 2018
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 am 10 Mär. 2014
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 am 11 Mär. 2014
Bearbeitet: Roger Stafford am 11 Mär. 2014
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 am 11 Mär. 2014
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
Mansour Attaallah
Mansour Attaallah am 11 Aug. 2018
Thank you very much it is really helpful

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Marta Salas
Marta Salas am 11 Mär. 2014
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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