2- Verify that the set of vectors (-0.6, 0.8, 0), (0.8, 0.6, 0), (0, 0, 1) form an orthonormal basis for R³, then obtain an orthonormal basis from them. Express (3,7,-4) as a linear combination of the orthonormal basis.
3- Determine whether the following sets of vectors are linearly dependent or linearly independent.
a) (1,1,0), (0,0,1), (0,1,1) in R³
b) (1,0,0), (2,2,0), (3,3,3) in R³
4- Verify that the set of vectors (-0.6, 0.8, 0), (0.8, 0.6, 0), (0, 0, 1) form an orthogonal basis for R³, then obtain an orthonormal basis from them. Express (2,3,-4) as a linear combination of the orthonormal basis.