I Find the components of the vertical force F = (CI, 8} in the directions parallel to and normal to the plane that makes an angle of E with the positive xaxis. Show that the total force is the sum of the two component forces. What is the component of the force parallel to the plane? iii-[ii Find three mutually orthogonal unit vectors in R" besides ti, + j, and + k. There are multiple ways to do this and an infinite number of answers. For this problem, we choose a first vector u randomly, choose all but one component of a second vector v randomly, and choose the first component of a third vector w randomly. The other components x, y, and z are chosen so that u, v, and w are mutually orthogonal. Then unit vectors are found based on u, v, and w. Start with u = (2,0,2), v= (x, - 1,1), and w= (1,y.z). The unit vector based on u is ( (Type exact answers, using radicals as needed.)Consider the vectors u = - 3j + 4k and v = - 3i + j + 6k a. Find the angle between u and v. b. Compute projyu and scaly u. c. Compute proj, v and scaly V. a. The angle between u and v is (Type an integer or decimal rounded to two decimal places as needed.)