Find the distance between the line `(x+1)/(-3)=(y-3)/2=(z-2)/1` and the plane `x+y+z+3=0.`

Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the plane 2x+y-3z+4=0.

Find the angle between the line (x-2)/(3)=(y-1)/(-1)=(z-3)/(2)" and the plane "3x+4y+z+5=0.

Find the angle between the line (x+1)/2=y/3 =(z-3)/6 and the plane 10x+2y-11z=3.

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)/3=(y-3)/4=(z-5)/5 .

Find the image of the line (x-1)/9=(y-2)/(-1)=(z+3)/-3 in the plane 3x-3y+10 z-26=0.

Find the image of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 in the plane 3x-3y+10 z-26=0.

Find the distance of the point (-1,-5,-10) from the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/(12) and plane x-y+z=5.

Find the shortest distance between the lines (x+1)/7=(y+1)/(-6) =(z+1)/1 and (x-3)/1=(y-5)/-2=(z-7)/1

Check whether the line (x-1)/(4)=(y+2)/(5)=(z-7)/(6) lines in the plane 3x+2y+z=6 .

Find the equation of the projection of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 on the plane x+2y+z=9.