Perpendicular distance beween two 3D points

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PPM 2022-8-29

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https://ww2.mathworks.cn/matlabcentral/answers/1789275-perpendicular-distance-beween-two-3d-points

评论： Chunru 2022-8-29

Hi All,

I have two 3D points in space with x, y, and z coordinates (1 and 2, red dots in the image). I want to calcuate "d". I know a bit about euclidean distances and pdist2 but not sure if this is what I need. Can someone help me?

Thanks in advance!

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Chunru 2022-8-29

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https://ww2.mathworks.cn/matlabcentral/answers/1789275-perpendicular-distance-beween-two-3d-points#answer_1036360

编辑：Chunru 2022-8-29

在 MATLAB Online 中打开

d = sqrt((x1-x2).^2 + (y1-y2).^2); % it does not depend on z

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PPM 2022-8-29

Thanks for your answer. Sorry but I am very obtuse in geometry. In terms of the attached image, what its inside of the parenthesis means "the square of the x coordinate of 1 + the square of the y coordinate of 2" is this correct?

Chunru 2022-8-29

The square of the distance/difference along x direction between the two points + The square of the distance/difference along y direction between the two points

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