Prove that points A (1, 1), B (– 2, 7) and C (3, – 3) 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.

Prove that the points A(a, 0), B(0, b) and C(1, 1) are collinear, if (1)/(a) + (1)/(b) = 1.

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.

Prove that the point A(1,2,3), B(-2,3,5) and C(7,0,-1) are collinear.

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

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.

Find the value of k for which the points A(-1, 3), B(2, k) and C(5, -1) are collinear.

show that the points (1,1),(-2,7) and (3,-3) are collinear.

Show that the point A (1,-1,3), B ( 2,-4,5) and C ( 5,-13,11) are collinear.

prove that the points A(1,-1) B(-4,-8) and C(6,6) are collinear