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# Efficiently calculate distance between moving point and fixed points

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T on 25 Sep 2017
Answered: Niraj Gadakari on 28 Sep 2017
Hello,
I have a grid of point coordinates
xval=0:1:5000;
yval=0:1:2000;
zval=1;
[X,Y,Z]=meshgrid(xval,yval,zval);
to those points defined by X,Y,Z and to another point I want to calculate the distances.
mypoint=[500 700 5];
dist=sqrt( (mypoint(1)-X).^2 + (mypoint(2)-Y).^2 + (mypoint(3)-Z).^2 );
This gives me my distances of mypoint to my grid of points. However, mypoint is changing over time. And for each time step I need all distances. I can do this with a simple for loop, but I was wondering if there is a more efficient way if mypoint is changing over time. Thanks
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### Answers (1)

Niraj Gadakari on 28 Sep 2017
You can calculate the distance between the points by vectorization.
Here is a link that discusses calculating the distance between two points using vectorization.
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