Question: Find three mutually orthogonal unit vectors in R besides i, tj, and k. There are multiple ways to do this and an infinite number
Find three mutually orthogonal unit vectors in R besides i, tj, and k. There are multiple ways to do this and an infinite number of answers. For this problem component of a second vector v randomly, and choose the first component of a third w chosen so that u, v, and w are mutually orthogonal. Then unit vectors are found base Start with u = (2,0,2), v = (x,-1,1), and w = (1,y,z). 1 1 The unit vector based on u is 2 2 (Type exact answers, using radicals as needed.) 1 1 1 The unit vector based on v is 3 3 3 (Type exact answers, using radicals as needed.) The unit vector based on w is (Type exact answers, using radicals as needed.)
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