Positioning B at the distance dz from A

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SUMMARY

The discussion focuses on repositioning point B at a specified distance dz from point A, given the current distance AB=dt. The formula to calculate the new coordinates of B' is B' = B + (dz/dt)(B - A), which ensures that B' is in the direction of vector AB. The objective is to achieve this repositioning with a minimal number of operations, starting from the coordinates of B.

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The information I have on disposal are the coordinates of A, B, the current distance AB=dt and the wished
distance dz. I need to place B on the distance dz from point A using these info, but the coordinates of new
B` should be obtained using the old value of B. To demonstate: for determining the coordinates of B` using coordinates of A, I should use the following:B` = A + dz/dt(B - A) \\
but, it is needed to start with \\
B`= B + ...

Of course, I should obtain the solution that uses <= number of operations that the solution B = A + ...
New coordinate B` should be in the direction of the vector AB.
Thanks.
 
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