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*n*vectors in ℝ

^{3}. And say we have defined a subspace inside ℝ

^{3}in the form of a sphere with radius

*r*, and the center of the spheare is at P, where P is a vector in ℝ

^{3}.

What methods exists to find any linear combination of the

*n*vectors, so that the sum of all of them, lies within the sphere?

F. ex i have hear of something called least squares. Can that be used for this?