Calculate Euclidean Distance between one point and many others

The idea is to calculate the Euclidean distance from certain point to many other points, e.g., we have point with coordiantes 0 0 0 along X, Y, and Z. And we have 10 other points with any coordinates. And the output is vector with 10 distances from our point 0 0 0 to other points.

Is there an efficient way to do it? I wrote my own simple fucntion which calculate the Euclidean distance in a loop. But I have millions of calculataions. And it would be great to have smth fast.

Answer 1

[Matt J]

xyz=rand(3,10); %points

Dist=vecnorm(xyz,2,1)

Dist = 1×10

1.2806 0.8949 0.8368 1.1284 0.8050 1.1707 1.3917 1.3063 0.9286 1.0914

Answer 2

[Torsten]

Dist = sqrt(X.^2 + Y.^2 + Z.^2)