Find the direction ratios of the line joining the points `P (1, 3, -2) and Q ( -2 , 4, 0).`

Find the vecto equation of the line passing through the points A (1,-1,3) and B (-2, 1, 0).

Find the ratio in which the line-segment joining the points P(3, 5) and Q(-2, 7) is divided by the X-axis and hence find the coordinatesof the point of intersection.

Find the ratio in which the line segment joining the points P(5, -7) and Q (-1, 6) is divided by the point R(-7, 19). Is the division internal or external?

Find the equation of the line passing through the points (1,3) and (-2,-1).

Find the direction cosines of the strating line passing through the point P (7, -5, 10) and Q (8, -3, 8).

Find the equation of the perpendicular bisector of the line segment joining the points (7, 4) and (-1, -2).

Find the equation of the straight line passing through the point (2, 3) and parallel to the straight line joining the points P(3, -4) and Q(-5, 6).

Find the length of the perpendicular from the point P (2, -3) to the line joining the points A (4, 2) and B (0, -1).

(i) Find the coordinates of the points which divide the line segment joining the points (5, 4, 2) and (-1, -2, 4) in the ratio 3 : 2 (a) internally

(i) Find the coordinates of the points which divide the line segment joining the points (5, 4, 2) and (-1, -2, 4) in the ratio 3 : 2 (b)externally