Thread: Point on line between 2 points in distance

How I can find the Point, if have know this:
Point A[0,0,0] - origin
Point B[1,2,3]
Distance D = 5


And i want find the Point X, which is on the Line between points A and B in distance D.

So know this:
(x1 - a1/b1 - a1) = (x2 - a2/b2 - a2) = (x3 - a3/b3 - a3) = λ

and

sqrt((x1 -a1)² +(x2 -a2)² +(x3 -a2)²) = D

=>

sqrt((x1)² +(x2)² +(x3)²) = D

How i can find point X ?

Originally Posted by jindave

How I can find the Point, if have know this:
Point A[0,0,0] - origin
Point B[1,2,3]
Distance D = 5
And i want find the Point X, which is on the Line between points A and B in distance D.

The line is to find the point solve:

.