Let a = (1, 2, 3), b = (2, 4, 1), and c = (1, 2,...

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Let a = (1, 2, 3), b = (2, 4, 1), and c = (1, 2, 2). Determine each of the following. 1. a + 2b 3c 2. ||a|| 3. a.b 4. the angle between vectors a and c 5. the constants p and q so that pa + qb = c Let a = (1, 2, 3), b = (2, 4, 1), and c = (1, 2, 2). Determine each of the following. 1. a + 2b 3c 2. ||a|| 3. a.b 4. the angle between vectors a and c 5. the constants p and q so that pa + qb = c