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

Let A=(1,-1,0), B=(-1,0,1), Direction ratios of segment AB are 2,-1,-1.  If θ  be the acute angle between segment AB and normal to plane.cosθ=|2.2−1.1−1.6|4+1+36.4+1+1=3246 Length of projection=(AB)sinθ=6.1−9246=23741  units