Find the foot of the perpendicular drawn from the point (1,0, 3) to the join of points (4,7,1) and (3,5,3).

Find the foot of the perpendicular from the point (2,4) upon x+y=1.

The coordinates o the foot of the perpendicular drawn from the origin to the line joining the point (-9,4,5)a n d(10 ,0,-1) will be a. (-3,2,1) b. (1,2,2) c. 4,5,3 d. none of these

Find the foot of the perpendicular drawn from the point (5,4,2) to the line (x+1)/(2)=(y-3)/(3)=(z-1)/(-1). Also, find the eqution of the perpendicular.

Find the length of the perpendicular from the point (1,-2,3) to the plane x - y + z = 5.

The foot of the perpendicular from the point (3,4) on the line 3x – 4y + 5 = 0 is

Find the coordinates of the foot of perpendicular from the point (-1, 3) to the line 3x - 4y - 16 = 0 .

Find the coordinates of the foot of the perpendicular drawn from the point (-1,2,3) to the straight line vec(r)=(veci-4hatj+3hatk)+t(2hati+3hatj+hatk) . Also , find the shortest distance from the given point to the straight line.

The point P is the intersection of the straight line joining the points Q(2,3,5) and R(1,-1,4) with the plane 5x - 4y -z = 1 . If S is the foot of the perpendicular drawn from the point T(2,1,4) to QR, then the length of the line segment PS is (A) 1/sqrt2 (B) sqrt2 (C) 2 (D) 2sqrt2