(a) u, v, w are vectors such that u·v = 3, u·w= -2, v·w= 5. Then, (u+ 2v)· • w = (b) {u, v, w} is a set of vectors with norm 1 such that each vector is normal to the other Then, (3u + 2v – w) · (u+v – 5w) (c) u, v are vectors with norm 3 such that u · v = . Then, ||2u + v||

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A: Here is the solution:

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A: The detailed solution is as follows below:

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A: The angle between two vectors and Dot product in R3 is related by