Determine the values of a and b so thast the points `(a,b,3), (2,0,1) and (1,-1,-3)` are colinear.

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

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

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

If the points (a, b, c), (2, 0, -1) and (1, -1, -3) are collinear, then the value of a is

Determine the values of x and y so that the line joining the points A(x,3,1),B(1,1,-2) is parallel to the line joining the points C(2,5,3),D(-4,y,-6).

Use the distance formula to show that the points A(1, -1), B (6,4) and C(4,2) are colinear.

For what values of k, the points (1,4), (k-2), and (-3,16) are colinear?

Determine the value of k so that the line joining points A(k,1,-1) and B(2,0,2k) is perpendicular to the line joining the points C(4,2k,1) and D(2,3,2) .

Show that the points A(2, 1), B(0,3), C(-2, 1) and D(0, -1) are the vertices of a square.

Determine the values of a and b so that the following system of linear equations have infinitely many solutions: (2a-1)x+3y-5=0,\ \ \ \ 3x+(b-1)y-2=0