Shortest Distance between two vectors

How can I find the shortest distnace between two vectors of same length?

is it like that

sqrt(vectorA+vectorB).

Thanks

Answer 1

[Jan]

"Vectors" can be moved freely by definition, so all vectors might have the distance 0. Or 42.

Do you mean lines, which require on point and a direction vector as a definition? Or do you mean the distance between the points these vectors point to from the origin?

For the latter case:

sqrt(sum((vectorA - vectorB) .^ 2))

Answer 2

[Roger Stafford]

If by "distance" you mean the Euclidean distance between the vectors considered as "points" in n-dimensional space, n being the number of elements in each vector, then it would be this:

 norm(vectorA-vectorB)

[Algorithms Analyst]

I need to fine the minimum distance between two images let say I have two image

img1 and img2

then mindist(img1,img2) can be like sqrt(img.^2+img.^2);???

There is no lines so I need to find the minimum distance thats why I am confsed for its computation which distance is this?

[dror yemini]

but if vectors ar a n*2 and b m*b diffrent lengths

[Jan]

@dror yemini: The comment is not clear.

n = 3;
m = 4;
b = 5;

x = rand(n, 2);
y = rand(m, b);

Now what do you want to calcultae?

Answer 3

[Shilpi Sunil Kumar]

What if the vectors are n1*n1*n3? Matlab function norm does not work in that case.