F is the linear transformation that orthogonally projects each vector inR3onto the plane defined byx+2y+2z=0
a) Enter an orthonormal basis for the subspace defined by the plane. Your answer should be a list of vectors, e.g. (1,2,3),(4,5,6)?
b) Use this basis to find a formula for the orthogonal projection of the point (x,y,z) onto the plane. Enter formulas for the three coordinates in the form (2*x/3+y/5, -z-y, 2*x+y)?
c) Hence enter F(2,2,1)?