Find the foot and hence the lengh of perpendicular form (5,7,3) to the line `(x-15)/3=(y-29)/8=(z-5)/(-5)`. Find also the equation of the perpendicular.

Find the coordinates of the foot of perpendicular from the point (2,6,3) to the line x/2=(y-1)/2=(z-2)/3 . Also find the equation of this perpendicular.

Find the foot of the perpendicular from P(1, 2, -3) on the line (x+1)/(2)=(y-3)/(-2)=(z)/(-1) , also obtain the equation and the length of perpendicular. Also find the image of the point in this given line.

Find the length of the perpendicular from point (3,4,5) on the line (x-2)/2=(y-3)/5=(z-1)/3.

find the foot of perpendicular form (0,2,7) to lien (x+2)/(-1)=(y-1)/3=(z-3)/(-2)

Find the foot of the perpendicular from the point (0,2,3) on the line (x+3)/5=(y-1)/2=(z+4)/3dot Also, find the length of the perpendicular.

Find the equation of the perpendicular drawn from (2,4,-1) to the line (x+5)/1=(y+3)/4=(z-6)/-9 .

Find the coordinates of the foot of the perpendicular drawn from the point (5,\ 4,2) to the line (x+1)/2=(y-3)/3=(z-1)/(-1) . Hence or otherwise deduce the length of the perpendicular.

The point P is the foot of perpendicular from A (-5, 7) to the line 2x - 3y + 18 = 0 . Determine : the equation of the line AP

Find the coordinates of the foot of the perpendicular from the point (1, 1, 2) to the plane 2x-2y+4z+5=0. Also the find the length of the perpendicular.

Find the slope of a line perpendicular to the line 3x+5y=8 .