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Let vector a = i + 4j + 2k, vector b = 3i - 2j + 7k and vector c = 2i - j + 4k. Find a vector p which is perpendicular

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Let vector a = i + 4j + 2k, vector b = 3i - 2j + 7k and vector c = 2i - j + 4k. Find a vector p which is perpendicular to both vector(a and b) and vector(p . c) = 18.

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Given vector

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