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Find three mutually orthogonal unit vectors in R besides 1, tj, and k. There are multiple ways to do this and an infinite number

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Find three mutually orthogonal unit vectors in R besides 1, tj, 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, an 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 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.)

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