If `A(3,2,-4),B(5,4,-6)a n dC(9,8,-10)` are three collinear points, then find the ratio in which point `C` divides `A Bdot`

Show that the points A(1, -2, -8) B (5, 0, -2) and C(11, 3, 7) are collinear and find the ratio in which B divides AC.

Consider the points A(3,2,-4),B(5,4,-6) and C(9,8,-10) . i. Find AB, BC and AC and show that A, B, C are collinear. ii. Find the ratio in which B divides AC using distance formula. iii. Verify the result using section formula.

If A(2,-1)a n dB(6,5) are two points, then find the ratio in which the food of the perpendicular from (4,1) to A B divides it.

i. Show that the points A(-2,3,5),B(1,2,3),C(7,0,-1) are collinear. ii. Find the ratio in which B divides line segment AC.

If the points A(2,5) ,B(4,6) and C(8,a) are collinear find the value of 'a' using slope concept .

If the points A(-3, 9), B(a, b) and C(4, -5) are collinear and if a+b=1 , find the a and b.

The points (-4,6,10),(2,4,6) and (14,k,-2) are collinear then k is

If point P(3,2) divides the line segment AB internally in the ratio of 3:2 and point Q(-2,3) divides AB externally in the ratio 4:3 then find the coordinates of points A and B.