Let V be the inner product space consisting of R^2 and the inner product whose quadratic form is defined by 

 

||(x_1, x_2)||^2 = (x_1, x_2)^2 + 3(x_2)^2.

Let E be the orthogonal projection of V onto the subspace W spanned by the vector (3,4). Answer the following questions:

a) a formula for E(x_1, x_2)

b)

c) an orthonormal basis in which E is represented by the matrix

  

W T 10 00