1. Using the fact that u v = 2, ||u|| = 1, and ||v|| = 3, compute the following. (a) 2u · (3u – v) (b) (u+ v) · (u – v) 2. Assume that ||v|| = 3, ||w|| = 5, and the angle between v and w is 7/3. Find %3D ||v + w||. 3. Assume that ||u|| = 4, ||v|| = 1, and u v = -2. Find ||u – v||. %3D 4. For the following vectors, find the projection of u along v. (a) u = (2, 5) and v = (1,1) (b) u = (5, 7, –4) and v = (1,0, 2) -

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