3. Find a basis for the subspace of R³ satisfying x+2y+z = 0 -x+y+2z= 0

Find the projection of the vector v=[102]T onto the subspace S=span{[011],[011]}.

Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the subspace. a Write x as a linear combination of the vectors in B.That is, find the coordinates of x relative to B. b Apply the Gram-Schmidt orthonormalization process to transform B into an orthonormal set B. c Write x as a linear combination of the vectors in B.That is, find the coordinates of x relative to B.