Prove that the points `A(9,-1,4),B(-1,-3,2)` and `C(4,-2,3)` are collinear.

Using the distance formula, prove that the points A(-2,3), B(1,2) and C(7,0) are collinear.

Prove that the points A(2,0,-3), B (1,-2,-5) and C(3,2,-1) are collinear.

Prove that the points A(1, 4), B(3, -2) and C(4, -5) are collinear. Also find the equation of the line on which these points lie.

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.

Prove that the points A(4,1) , B(-2,3) and C(-5,4) are collinear. Also find the equation of the line passing through these points.

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.

Show that the points A(2,1,3) ,B(5,0,5) and C(-4,3,-1) are collinear .

Using section formula,show that the points A(2,-3,4),B(-1,2,1) and C(0,1/3,2) are collinear.

Using vector method, show that the points A(2,-1,3),B(4,3,1) and C(3,1,2) are collinear

Using section formula, prove that the points A(-2, 3, 5), B(1,2,3) and C(7,0, -1) are collinear.