question 2 only

2. This problem is related to the previous problem. Let E = VJ, and let Q be the plane given by c span{'1,'2}, Where E1 and 'g are the standard basis vectors. The plane Q is also equal to span{51,l_ig}, _' 1 _' 1 where bl = 0 , b2 = 1 . 0 0 The relationship between projp) and vcompg1 (6i), vcompg2 ((1') will be different than what you dis- covered in problem 1. Explore and explain the differences in this context with the basis B = {31, 52}. (c) Explain the connection between projp(a) and vcompa, (a), vcompe, (a), where el and e2 are the standard basis vectors. Consider a. e. = 1/alllle'll coso Thus del lle? = (omp, ca) The unit vertor v in the same direction as to is given by e He'll. S- V = 1 12 11 project = 1 a e , same thing goes for the relationship1. This problem is about projections onto planes. The setting is R3. Let a = (a) Let P be the xy-plane in R3. Find projp(a) keep: [:3 ] prosplays a p P . P P: Xtzy = 4 [y J [ 20 ] an + 2by + otz X7 24 29 - atb (b) Draw a graph of the projection in the previous part. (Technology can be used.) 2 a z Cs . .. 4