The length of projection of the line segment joining the points (1, 0, - 1) and (-1, 2,2) on the plane x+3y-5z=6 is  equal to

Let A (1, 0, -1), B (-1,2,2) Direction ratios of segment AB are < 2, - 2, - 3 >.∴ 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=174741735=47435 units