For what values of `alpha` ,the points `(0,-1,0),(2,1,-1),(1,1,1)`and `(3,3,alpha)` are coplanar

Show that the points (0,-1,0).(2,1,-1),(1,1,1),(3,3,0) are coplanar.

For what value of alpha ,the points (1,2,3),(2,3,1) and (3,1,alpha) form an equilateral triangle?

Show thast the points P(1,1,1),Q(0,-1,0),R(2,1,-1) and S(3,3,0) are coplanar.

The value of x when the points A(2,-1,1),B(4,0,3),C(x,1,1)andD(2,4,3) are coplanar is

The value of k for which the points A (1, 0, 3), B(-1, 3, 4), C(1, 2, 1) and D(k, 2, 5) are coplanar, are

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) nonn coplanar (C) vertices of a parallelograsm (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

Show that the following points are coplanar: (0,\ -1,\ 0),\ (2,\ 1,\ -1),\ (1, ,1\ ,1)a n d\ (3,\ ,3\ 0)dot

The values of alpha ,for which [[1,(3)/(2),alpha+(3)/(2)],[1,(1)/(3),alpha+(1)/(3)],[2 alpha+3,3 alpha+1,0]]=0 ,lie in the interval