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 ware mutually orthogonal. Then unit vectors are found based on u, v, and w. Start with u = (1,1,3), v= (x, - 1,1), and w = (1,y.z). . . . The unit vector based on u is (Type exact answers, using radicals as needed.)Compute the dot product of the vectors u and v, and find the angle between the vectors. u= ( -14,0,5) and v = (1,2,4). U . V = 6. (Type an integer or a simplified fraction.) Find the magnitude of the vectors. |ul = $221 and |v| = 1/21 (Type exact answers, using radicals as needed.) The angle between the vectors is (Type your answer in degrees. Do not round until the final answer. Then round to the nearest hundredth as needed.)