Show that the points (1, 2, 3), (2, 3, 1) and (3, 2, 1) form an equilateral triangle.

Show that the points (1,2,3), (2,3,1) and (3,1,2) form an equilateral triangle.

Show that the points (1,2,3),(2,3,1) and (3,1,2) from an equilateral triangle.

Show that the points (2, 3, 5), (-1, 5, -1) and (4, -3, 2) form a right angled isosceles triangle.

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

I : The points (-2,3,5 ), (1,,2,3 ),(7,0,-1 ) are collinear. II: The points (2 ,-1,1 ) (1-3-5 ), (3,-4,-4 ) form an equilateral triangle.

Show that the points A(-1, -2), B(4, 3), C(2, 5) and D(- 3, 0) in that order form a rectangle.

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

Show that the points (1,3),(3,-1),(-5,-5) form a right angled triangle.

If H, G, S and I respectively denote orthocentre, centroid, circumcentre and in-centre of a triangle formed by the points (1, 2, 3), (2, 3, 1) and (3, 1, 2), then find H, G, S, I