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.)