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

Show that the points A(3,-2,1),B(1,-3,5),C(2,1,-4) do not form a right-angled triangle.

a and b are real numbers between 0 and 1 such that the points Z_1 =a+ i , Z_2=1+ bi , Z_3= 0 form an equilateral triangle, then a and b are equal to

Prove that the points A (1,2,3), B(2,3,1) and C(3,1,2) are the vertices of an equilateral triangle.

Show that the points (1,-1,1),(2,3,1),(1,2,3) and (0,-2,3) are coplanar. Find the equation of the plane in which they lie.

Show that the points (1, 1), (2, 3) and (3, 5) are collinear.

Show that the points A(1,2,7), B(2,6,3) and C(3,10,-1) are collinear.

Show that the points A(1,2,7), B(2,6,3) ਅਤੇ C(3,10,-1) are collinear.

Show that the lines x^2-4xy+y^2=0 and x+y=3 form an equilateral triangle and find its area.

Show that the points A(1,3,2),B(-2,0,1) and C(4,6,3) are collinear.