If the length of the projection of the line segment with points (1, 0, - 1) and (-1, 2,2) to the plane x + 3y - 5z=6 is4 then find the value of  d2, where [ . ] represent greatest integer function.

Let A(1, 0, -1), B(-1 ,2,2) Direction ratios of AB are (2, - 2, - 3) Let θ be the angle between the line and normal to plane; then cos⁡θ=|2.1+3(−2)−5(−3)|1+9+254+4+9=111735=11595Length of projection =(AB)sin⁡θ=(2)2+(2)2+(3)2×1−121595=47435 units