G3S {Tex4exams}

Apply the Gram-Schmidt process to orthogonize a group of 3 vectors

Description

Apply the Gram-Schmidt process to convert the group of 3 vectors (x,y,z) into an orthogonal group (u,v,w) without normalizing to unit vectors. The output is a matrix with columns (u,v,w).

Usage

G3S(x,y,z)

Arguments

x, y, z

a group of 3 vectors (x,y,z)

Details

Need the one dimensional projection function 'myGS' from the same package.

Value

The output is a matrix with columns (u,v,w) which are an orthogonal set of vectors.

See Also

myGS

Examples

 G3S(c(1,2,3),c(3,2,1),c(4,5,9))
 fractional(G3S(c(1,2,3),c(3,2,1),c(4,5,9)))