Problem 264. Find the "ordinary" or Euclidean distance between A and Z

Created by Bruce Raine
Appears in Strings II

Difficulty:Rate

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A, B and Z define three points in the 3D Euclidean space of the form: A = [x1;y1;0]; B = [x2;y2;0]; Z = [x2;y2;z];

Find the Euclidean distance between A and Z where

A = [1,0,0]; B = [5,3,0]; Z=[5,3,3];

>> euclidean(A,B,Z)

ans = 5.830951894845301

Your function should be able to handle 1 x 3 vectors or 3 x 1 vectors for all input parameters: A,B and Z. Z need not be 1 x 3 if A and B are. So 1x3,1x3,3x1 inputs, corresponding A, B and Z, are possible function input vectors.

HINT: use the Pythagorean formula.

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Last Solution submitted on Dec 28, 2024

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Bruce Raine on 6 Feb 2012

Your solution is the best and yes I did alter/correct the test suite. Thanks.

Gary on 6 Feb 2012

To repeat bmtran's question: Does B have anything to do with the problem?

Bruce Raine on 8 Feb 2012

B is a red herring. I originally conceived the problem in 2D and then extended it to 3D. So you really only need A and Z vectors. However, B can still be used but this creates a more complex solution which you don't want. Sorry if you felt misled, this was my first attempt at trying to upload an interesting problem that was hopefully not too difficult to solve. :)

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Problem 264. Find the "ordinary" or Euclidean distance between A and Z

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Problem 264. Find the "ordinary" or Euclidean distance between A and Z

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