Show that the point (0, -1, -1), (4 5, 1), (3, 9, 4) and (-4, 4, 4) are coplanar and find the equation of the common plane.

Show that the four points A(0,-1,0), B(2,1,-1), C(1,1,1) and D(3,3,0) are coplanar. Find the equation of the plane containing them.

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

Show that the points (1, 7), (4, 2), (-1, -1) and (-4, 4) are the vertices of a square .

Show that the points (1,7), (4,2), (-1, -1) and (-4 4) are the vertices of a square.

Find x such that the four points A(3, 2, 1), B(4, x, 5), C(4, 2, -2) and D(6, 5, -1) are coplanar.

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

Find the distance between the points P(1, -3, 4) and Q(-4, 1, 2).

Consider a triangulat pyramid ABCD the position vector of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of the triangle(BCD) . Q. Equation of the plane ABC is

Prove that the points A(0,1), B(1,4), C(4,3) and D(3,0) are the vertices of a square ABCD.

Points (5,-4, 2),(4,-3, 1),(7,6,4)and(8,7,5) represents ______ in plane.