11. Assume u=(1,0,0,-1), v1=(3,2,7,3), v2=(2,1,3,2), and v3=(5,2,9,5). Show that u is in the orthogonal complement of W=span(v1,v2,V3).

2. Find the projection projuv, where u = (1,3,-2) and v = (2,-1,3).

#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)

18. Find the orthogonal projection of the vector a = (-9, -8, 7) in the direction of the vector b = (-3,-5,-2).