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Math Models for Computer Science. The Dot Product. Let a = 4i - 2j + 7k and b = -i - 3j + 5k be

Math Models for Computer Science. The Dot Product.

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Let a = 4i - 2j + 7k and b = -i - 3j + 5k be two vectors in R^3. Find a middot b. Find b middot a. Find a times b. Find b times a. Simplify the given expressions as much as possible (where a and b are two arbitrary vectors). (a + 2b) middot (2a - b) (a + 2b) times (2a - b)

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