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Let prod: x + y - z - 4 = 0 be the equat...

Let `prod: x + y - z - 4 = 0` be the equation of a plane and A be the point with position vector `hat i+2hat j-3hat k.L` is a line which passes through the point `(1,2,3)` with direction ratios `3,-1 and 4` If the distance of the point A from the line L measured parallel to the plane `prod` is `d_1` and the distance of the point A from the plane `prod` measured parallel to the fine L is `d_2.` then find the value of `sqrt(d_1^2-d_2^2`

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