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Find the parametric form of vector equation and Cartesian equations of a straight line passing through (5, 2, 8) and is

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Find the parametric form of vector equation and Cartesian equations of a straight line passing through (5, 2, 8) and is perpendicular to the straight lines vector r = (i + j - k) + s(2i - 2j + k ) and vector r = (2i - j - 3k) + t(i + 2j + 2k)

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Given point

∴ This’ vector is perpendicular to both the given straight lines. 

∴ The required straight line is

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