Problem 2.(12 points) Let q = and u = (a) (4 pts). Find vectors up and uz such that up = proj,(u) and up and uz are orthogonal, and u = uj + 12. (b) (4 pts) Find w = u x q. (c) (2 pts) Without any computations, justify in words why u x uj is the zero vector, where uj is the vector found in question (a). (d) (2 pts) Without any computations, justify in words why the vector u w are orthogonal, where w is the vector found in question (b)