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 direction cosines of the line passing through the points P(2,3,5) and Q(-1,2,4)

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 .

Equation of the plane passing through the mid point of the line segment of join of the points P(1,2,3) and Q(3,4,5) and perpendicular to it is

If the direction ratios of a vector are 6,2,3, then its direction cosines are