Minimum perpendicular distance from point to line in the 3D plane algorithm

Question

How to find the minimum perpendicular distance of a point from a line in a three-dimensional plane?

Please give me the logic and I will try to make the code on myself.

Please let me know how to do this in terms of x, y, z, which are in terms of coordinate systems.

I find it difficult to find the right solution, which will be easy in terms of coding. Online solutions are a little rusty to understand. So please help me.

Note that the string is given in terms of a three-dimensional spatial equation.

Answer 1

A (B C). ABC Heron. 2 [BC]. , .

Answer 2

- ​​ , , . , , , , . - , .

, ; .

Answer 3

, 3D, . , , , , .

, . Pavel, .

, x, , x = 0. y z . Pavel, x - , x = 1, .

( x), x . y . , z. , , , .

To solve the problem without Paul’s method, move the direction of the line with the vector formed by the given point and the point that you found on the line. Now go this result with the direction of the line to get a new vector. Read this vector with the starting point and again with a point on the line. Take the difference and divide by the length of the vector.