Find the vector joining the points P(2,3,0) and Q(-1,-2,-4) directed from P to Q.

find the direction ratios of the vector, joining the points P(2,3,0) and Q(-1,-2,-3) direction from P to Q.

Find the direction cosines of the vector joining the points A(1,2,-3) and B(-1,-2,1) directed from A to B.

Find the direction cosines of the vector joining the points A(1, 2, 3) and B(1, 2, 1) , directed from A to B.

Find the position vector of the mid point of the vector joining the points P(2,3,4) and Q(4,1,-2).

Find the distance between the points P(-2, 4, 1) and Q(1, 2, -5).

A point R with X coordinate 4 lie on the line segment joining the points P(2,-3,4) and Q(8,0,10) find the coordinates of the pont R

Find the ratio in which the point (-3,p) divides the line joining the points (-5,-4) and (-2,3) .Hence find the value of p .

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: