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Find the equation of the plane through the line of intersection vector r.(2i - 3j + 4k) = 1 and vector r. ( i - j) + 4 = 0 and perpendicular to the plane vector r.(2i - j + k) + 8 = 0. Hence find whether the plane thus obtained contains the line x - 1 = 2y - 4 = 3z - 21.

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Equation of family of planes

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