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Mathematics, 05.05.2020 23:45 mshields1994

Find three mutually orthogonal unit vectors in Bold Upper R cubed besides plus or minusi, plus or minusj, and plus or minusk. 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 uequalsleft angle1,0,3right angle, vequalsleft anglex, minus1,2right angle, and wequalsleft angle1,y, zright angle. The unit vector based on u is left angle nothing comma nothing comma nothing right angle.(Type exact answers, using radicals as needed.)

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