Question: Details Let u = (@11, a12, a13), V = (421, a22, a23), W = (431, a32, a33) be three vectors in Ro. Explain, using linear

Details Let u = (@11, a12, a13), V = (421, a22, a23), W = (431, a32, a33) be three vectors in Ro. Explain, using linear algebra, why it is (generally) impossible to find a nonzero vector (x, y, z) that is orthogonal to u, v, and w. Your explanation should refer to the properties of a relevant system of linear equations.Let u1, u2, ..., un be a set of vectors, and suppose there are nontrivial solutions to xiu1 + x2u2 + ... + Enun = 0 Explain why, if ac; is a free variable, you can always express u; in terms of the vectors corresponding to the basic variables

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