Given the vectors u (1,1,-2), v = (1,1,1), and w-(-1,1,0) a. Show that these vectors form a mutually orthogonal set (i.e., each pair of vectors is orthogonal). b. Let a (5,4,3). Write a in terms of u, v, and w. That is, find scalars r, s, t such that ru + sv tw. Hint: There are a couple of approaches you can use. a

Q: 1 u=-----(1, 1, 1, 0), V 3 1 -- (-1,-1, 2, 0) W = V6 1 =(1,-1, 0, 0) V 2

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