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The plane x-y-z=2 is rotated through 90^...

The plane `x-y-z=2` is rotated through `90^(@)` about its line of intersection with the plane `x+2y+z=2`. The distance of `(-1,-2,-1)` from the plane in the new position is `lamda sqrt(6/7)`. Then the value of `lamda` is equal to

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