Random unit vector (x0, y0, z0) generating

[Pavel_47]

Hello,

Does exist function that generates random unit vector 3D (x0, y0, z0)

Thanks in advance

Pavel

[ben64]

Generate random 3D vector and use the Vector Norm function.

Ben64

[crossrulz]

It is called a FOR loop.

[sabri.jatlaoui]

Hi Pavel_47,

How about that?

Regards

[Gregory]

Hi Sabri,

A unit vector has the property that the sum of the squares is equal to 1. Yours will have the sum anywhere from 0 to 300.

[sabri.jatlaoui]

Didn' new. Thx for the info.

[sabri.jatlaoui]

Knew 🙂

[ben64]

Just realized that using random number (0-1) will only generate a unit vector in the x+,y+,z+ region of the 3D x,y,z space. Here is a modified version to correct that. This is a quick fix there is probably a more elegant solution (maybe using complex number).

Ben64

[Pavel_47 · Accepted solution]

Well ... I've searched a little bit more and found approach base on polar coordinates: only 2 random variables are generated and they are completely independent.

Here it is.

Regards

Pavel

[Gregory]

Hi Pavel,

I think parameterizing in spherical coordinates is a good way to go. You do still have 3 variables to describe a 3D point in space of course

Spoiler

you've just set |r|=1