III.)) Answer with complete solution:

III. Let 1'." and 13 be 1.zreetors such that s: (2,2,1), \"13\": vi 17-11:": 3, and x sea1,2}. 1. If I? = (2m, 2m 2, m2}, nd all possible values of in so that ii is perpendicular to if. 2. Find 2 vectors f1 and :32 of length 6 orthogonal to both 17 and :3. 3. Determine the projection of 13 onto if