The points `A(1,1,0),B(0,1,1),C(1,0,1) and D(2/3,2/3,2/3)` are (A) coplanar (B) non coplanar (C) vertices of a parallelogram (D) none of these

The points A(1,1,0),B(0,1,1),C(1,0,1) and D(2/3, 2/3, 2/3) are (A) coplanar (B) non coplanar (C) vertices of a paralleloram (D) none of these

If points (0,0,9),(1,1,8),(1,2,7)a n d(2,2,lambda) are coplanar, then lambda=

Prove that the point A(1,3,0),\ B(-5,5,2),\ C(-9,-1,2)\ a n d\ D(-3,-3,0) taken in order are the vertices of a parallelogram. Also, show that ABCD is not a rectangle.

Show that the points A(1,2,3),\ B(-1,-2,-1),\ C(2,3,2)a n d\ D(4,7,6) are the vertices of a parallelogram ABCD but not a rectangle.

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.

A (-1, 0), B (1, 3) and D (3, 5) are the vertices of a parallelogram ABCD. Find the co-ordinates of vertex C.

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.

If the points A(1,\ -2),\ \ B(2,\ 3),\ \ C(-3,\ 2) and D(-4,\ -3) are the vertices of parallelogram A B C D , then taking A B as the base, find the height of the parallelogram.

If the points (-0,-1,-2),(-3,-4,-5),(-6,-7,-8) and (x,x,x) are non coplanar then x is (A) -2 (B) 0 (C) 3 (D) any real number