Show that the points (taken in order)
(3,-2),(7,6),(-1,2),(-5,-6) form a rhombus.

Show that the points (taken in order) (8,4),(5,7),(-1,1),(2,-2) form a rectangle.

Show that the points (taken in order) (-3,1),(-6,-7),(3,-9),(6,-1) form a parallelogram.

Show that the points (3, -1, 2), (5, -2, -3), (-2, 4, 1) and (-4, 5, 6) form a parallelogram. [Hint : Opposite sides of parallelogram are equal.]

Show that the points (-3,2),(-5,-5),(2,-3) and (4,4) are the vertices of a rhombus. Find the area of this rhombus.

Show that the points (0,7,10),(-1,6,6) and (-4,9,6) form a right angled isosceles triangle .

If the area of the quadrilateral whose angular points taken in order are (1, 2), (-5, 6), (7, -4) and (h, -2) be zero, show that h=3 .

Examine whether the points are collinear or not: (-3,2),(-5,-4),(7,-6)

Show that the points (2,4),(2,6) (2+sqrt3,5) form an equilateral triangle.

Show that the following points are collinear : (i) (0,7,-7), (1,4,-5), (-1, 10,-9) (ii) (3,-5,1), (-1,0,8), (7,-10,-6) (iii) (-2,3,5),(7,0,-1),(1,2,3)

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