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1: Two vectors are given as a-(-1, 4, 2) and-(4,2,-1). Find: (i) 3b (ii) a + b (iii) a-b (iv) a b (v) a × b (vi) a (vii) | 2: Vectors F, d, and a denote the position, velocity, and acceleration vectors, respectively. Show that: dt Hint: first apply the product rule, then use the fact that for any 3 vectors: a . (b x c) = c . (a × b) = b . (cx a).

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