Hi! Please answer the questions seen below, and please write legibly if possible!!! Also, be sure to explain how you got to your solutions. Thank you so much and if you have any questions, don't hesitate to ask! :)

1 : Let u=(1,1,2) andv=2i+j+3k. 3.) Find (211)0v b) Compute u x v 2 : Let u = (5, 1,0) and v = (2, 2, 1). Find Projuv. 3 : Let u, v be two nonzero vectors. Without using components prove the following. a) If \"u\" = \"V\": Show that (u+ v) and (u v) are orthogonal. b) Show that |u o v| g "u\" - ||v||. For this part we do not require the equality of norms. 4 : Let u = (a, 2) and v = (3,4) Find a if u and v are parallel