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Find the vector and Cartesian forms of the equation of the plane passing through the point `(1,\ 2,\ -4)` and parallel to the lines ` -> r=( hat i+2 hat j-4 hat k)+lambda(2 hat i+3 hat j+6 hat k)a n d\ -> r=( hat i-3 hat j+5 hat k)+mu( hat i+ hat j- hat k)dot` Also find the distance of the point (9, -8, -10) from the plane thus obtained.

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The correct Answer is:
` = sqrt(146)`
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OSWAAL PUBLICATION-THREE DIMENSIONAL GEOMETRY-Topic - 3 (Long answer type questions - II)
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