components of a vector with sign, having direction and magnitude

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I have the direction of a vector lets say passing trough [0.3 4 5], [5 7 32] (x,y,z), and the magnitude 45; how can I calculate the components of that vector along x,y and z in an easy way?

Accepted Answer

Walter Roberson
Walter Roberson on 13 Nov 2022
take the difference between the endpoints, getting vector components. Divide the vector by the length of the vector. Multiply the result by the desired magnitude. Add the first point to get the resulting point.

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