If the points `A(3,2,-4),\ B(9,8,-10)a n d\ C(5,4,-6)` are collinear, find the ratio in which C divides AB.

Show that the three points A(2,3,4),\ B(-1,2,-3)a n d\ C(-4,1,-10) are collinear and find the ratio in which C divides AB.

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 .

i. Prove that the points vec a-2vec b+3vec c, 2vec a+3vec b-4vec c and -7vecb+10 vec c are are collinear, where vec a, vec b, vec c are non-coplanar. ii. Prove that the points A(1,2,3), B(3,4,7), and C(-3,-2,-5) are collinear. find the ratio in which point C divides AB.

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.

Show that the points A(1,-2,-8),B(5,0,-2)a n dC(11,3,7) are collinear, and find the ratio in which B divides A Cdot

Show that the points A(1,-2,-8),B(5,0,-2)a n dC(11,3,7) are collinear, and find the ratio in which B divides A Cdot

Given that the points A(2,3,4),B(-1,2,-3) and C(-4,1,-10) are collinear. Then the ratio in which C divides AB is

If the points A(m ,-1),\ B(2,1)a n d\ C(4,5) are collinear find the value of mdot

i. Prove that the points veca - 2vecb + 3 vecc, 2 veca + 3vecb- 4 vecc and -7 vecb + 10 vecc are collinear, where veca, vec b and vecc are non-coplanar. ii. Prove that the points A(1, 2, 3), B(3,4, 7) and C(-3, -2, -5) are collinear. Find the ratio in which point C divides AB.

Given that P (3,2,-4), Q(5,4,-6), R (9,8-10) are collinear, find the ratio in which Q divides PR.