Gram Schmidt Orthogonalization Process/ Linear Algebra/ Inner Product Space

Assume that the vector space R^3 has the Euclidean inner product. Apply the Gram-Schmidt process to transform the basis vectors{\ u}_1=\left(1,1,1\right),\ u_2=\left(0,1,1\right),\ u_3=(0,0,1) into an orthogonal basis {v_1,\ v_2,\ v_3} and then normalize the orthogonal basis vectors to obtain an orthonormal basis {q_1,\ q_2,\ q_3}. Gram Schmidt Orthogonalization Process Inner Product Space Linear Algebra Explanation in Tamil