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

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 (0,-1,-1),(-4,4,4),(4,5,1)a n d(3,9,4) are coplanar. Find the equation of plane containing them.

Show that the four points S(0,-1,0), B(2,1,01), C(1,1,1) and D(3,3,0) are coplanar. Find the equation of the plane containing them.

Show that the point A(4,-1,2), B(-3,5,1), C(2,3,4) and D(1,6,6) are coplanar. Also find the equation of the plane passing through these points.

Show that the points A(0,4,3) , B(-1,-5,-3), C(-2,-2,1) and D(1,1,1) are coplanar. Also find the equation of the plane in which these points lie.

Find the equation of the plane passing through the points (0,-1,-1), (4,5,1) and (3,9,4). Also find the vector equation of the plane.

Prove that the points (5,1),\ (1,-1)a n d\ (11 ,4) are collinear. Also find the equation of the straight line on which these points lie.

Show that the coplanar points (0,4,1),(2,3,-1),(4,5,0) and (2,6,2) are the vertices of a square.

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

Find the vector equation of the plane passing through the points A(2,2,-1),B(3,4,1)a n dC(7,0,6)dot Also, find the Cartesian equation of the plane.