1. The problem statement, all variables and given/known data I have 3 vectors. I need to find the ortonormal basis by Gram-Schmidt. 3. The attempt at a solution I observed that, without Gram-Schmidt, I get two vectors which I get too by Gram-Schmidt. I have just divided the vectors by their lengths. The third vector got without Gram-Schmidt differs however from the vector got by Gram-Schmidt. Do you know why?