Question: Let 7 and u be vectors such that = (2,2, -1), |||w|| = 2, v.w=-3, and xw = (2,1,2). 1. If u = (-2m,

Let 7 and u be vectors such that = (2,2, -1), |||w||

Let 7 and u be vectors such that = (2,2, -1), |||w|| = 2, v.w=-3, and xw = (2,1,2). 1. If u = (-2m, 2m-2, -m), find all possible values of m so that u is perpendicular to 7v. 2. Find 2 vectors and 2 of length 6 orthogonal to both 7 and w. 3. Determine the projection of w onto v.

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