Clear Filters
Clear Filters

How to find the distance between one slope and several points?

1 view (last 30 days)
I have slope AB, where
A=[x1,y1], B=[x2,y2], and point C=[x0,y0].
In order to find the distance between the point C and slope AB, I have used the formula below:
d=(abs(((x2-x1)*(y1-y0))-((x1-x0)*(y2-y1)))/(sqrt((x2-x1)^2+(y2-y1)^2)));
I can find the distance between slope and one point, but If I have several points, I have a problem in result.
For example:
I have a matrix A as below, where the first row represents A=[x1,y1], and the last row represents B=[x2,y2]:
A =
2 2
3 1
5 4
7 8
10 2
In matrix A, rows 2,3,4 represent 3 different points.
So I need to find a distance between slope and 3 points.
Actually, I did this code, but the result shows 4 values instead of 3 values.
l=length(A);
x1=A(1,1); y1=A(1,2);
x2=A(l,1); y2=A(l,2);
for i=2:l-1
x(i)=A(i,1);
y(i)=A(i,2);
d(i)=(abs(((x2-x1)*(y1-y(i))-((x1-x(i))*(y2-y1)))/(sqrt((x2-x1)^2+(y2-y1)^2))));
end
Could anyone check my code or help to get necessary answer?

Accepted Answer

Azzi Abdelmalek
Azzi Abdelmalek on 21 Jul 2016
x0=A(2:4,1)
y0=A(2:4,2)
d=(abs(((x2-x1).*(y1-y0))-((x1-x0).*(y2-y1)))./(sqrt((x2-x1)^2+(y2-y1)^2)));

More Answers (0)

Categories

Find more on Creating and Concatenating Matrices in Help Center and File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!