Let { u1, U2, Uz, U4, U5} be an orthogonal basis for R5 , y a vector in R5 , W1 Span { u1, Uz} and W2 Span { u3, U4, U5} . Which of the following is False? || (a) W1 = W2" (b) W2 = W1' (c) There are two vectors z1in W1 and zzin W2such that y = z1+ Z2 (d) y is orthogonal to W1 and W2. %3D

Let {uj, uz, U3, U4} be the orthogonal basis for R' given below. Write x as a sum of two vectors vand v, with v, in Span{uj, u2, Uz} and v, in Span{u4}. Enter your answers as 4x1 arrays into v_1 and v_2 . [6] 6 uz = u = Uz = -6

#1) Find the projection of U = ( 3 -5 ) onto V = ( 6, 2 ) . Then write U as the sum of two orthogonal vectors one which is projvU.#2) Find the projection of U = ( 3 4 ) onto V = ( 8, 2 ) . Then write U as the sum of two orthogonal vectors one which is projvU#3)Find the projection of U = ( 2 , 2 ) onto V = ( 6, 1 ) . Then write U as the sum of two orthogonal vectors one which is projvU2))#4)Find the projection of U = ( 4 , 2 ) onto V = ( 1 ,- 2 ) . Then write U as the sum of two orthogonal vectors one which is projvU3)