Random vector generating - help

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To generate a random vector |Q> in the form |Q> = a*(1,0) + b*(0,1), where |a|^2 + |b|^2 = 1, a Monte Carlo simulation method is suggested. The process involves generating a random number R in the interval [0.0, 1.0], then calculating X as 2π * R. The values of a and b are derived using the sine and cosine functions, respectively, where a = sin(X) and b = cos(X). This approach ensures that the resulting vector maintains the required normalization condition. The request for C++ source code indicates a need for practical implementation guidance.
bgy
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hi,

I have to generate a random vector |Q>, which has the following form:

|Q>=a*(1,0)+b*(0,1), where |a*a|+|b*b|=1 and (...,...) is a 2 dimensional column vector.

This is a linear superposition of two vectors simply and the values of the vectors change between [0,1] randomly.

I think, I schould use Monte Carlo simulation method...

Please, if you have a source code (in C++), send me... this is very important!
 
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Monte Carlo ?!

Well, I would first generate a random number , let's say R in [0.0 , 1.0] interval.
Then I would evaluate X = 2Pi * R , and
a = sin X
b = cos X
 
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