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Find the vector equation of the plane pa...

Find the vector equation of the plane passing through the intersection of the planes `x-2y+z=1a n d2x+y+z=8` and parallel to the line with direction ratios proportional to `1,2,1.` Find also the perpendicular distance of `(1,1,1)` from this plane.

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The correct Answer is:
`12/sqrt(194)`
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Find the vector equation of the plane passing through the intersection of the planes x-2y+z=1 and 2x+y+z=8 and parallel to the line with direction ratios proportional to 1,2,1. Find also the perpendicular distance of (1,1,1) from this plane.

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AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
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