Question 1. (25). For the vectors u = 2i + j + 2k and i = i – 2j – 2k. a. Find u· ū, i ·ở and ū · Ữ. Answer: ữ ũ = 9, ở ở = 9 and ữ · ở = -4. b. Find unit vectors in the direction of u and of ū. A unit vector in the direction of u is 2i +j+ 2k (2/3)i + (1/3)j + (2/3)k |ū| A unit vector in the direction of i is i – 2j – 2k V9 = (1/3)i – (2/3)j – (2/3)k

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