Show that the points `A(1,3,4),\ B(-1,6, 10),\ C(-7,4,7)a n d\ D(-5,1,1)` are have vertices of a rhombus.

Show that the points A(1,3,4),B(-1,6,10),C(-7,4,7) and D(-5,1,1) are have vertices of a rhombus.

Show that the points A(3,3,3,),\ B(0,6,3),\ C(1,7,7)a n d\ D(4,4,7) are the vertices of a square.

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 points A(3, 0), B(4, 5), C(-1, 4) and D(-2, -1) are the vertices of a rhombus. Find its area.

Show that the points A(1,2,3),B(-1,-2,-1),C(2,3,2) and D(4,7,6) are the vertices of a parallelogram.

Show that the points A(1,2,3) , B(-1,-2,-1) , C(2,3,2) and D(4,7,6) are the vertices of a parallelogram.

Show that the points A(2,3,5),B(-4,7,-7),C(-2,1,-10) and D(4,-3,2) are the vertices of a rectangle.

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

Show that the points (5, - 1, 1),(7, - 4, 7), (1, - 6, 10) and (- 1, -3, 4) are the vertices of a rhombus.

Show that the points : A (7, 3), B (3, 0), C (0, -4) and D (4, - 1) are the vertices of rhombus ABCD.