Show that the points in the Argand diagram represented by the complex number `1+3i,4-3i,5-5i` are collinear.

Show that the points in the Argand plnae, represented by the complex numbers 2+i4+3i,2+5i,3i are the vertices of a square.

Show that the points in the Argand digraam represented by the complex numbers 2+2i,-2-2i, 2 sqrt(3)+ 2sqrt(3)i are the vertices of an equilateral triangle.

Show that in the Argand's diagram the points represented by the complex numbers 2 + i, 4 + 3i, 2 + 5i, 3i taken in order form a square.

Show that the points in the Argand plane represented by the complex numbers -2+7i,-(3)/(2)+(1)/(2)i,4-3i,(7)/(2)(1+i) are the vertices of a rhombus.

Show that the points represented by complex numbers (3+2i),(2-i),-7i are collinear.

Show that the points representing the complex numbers 3+2i, 2-i and -7i are collinear.

Show that the area of the triangle on the Argand diagram formed by the complex number z ,i za n dz+i z is 1/2|z|^2

Show that the area of the triangle on the Argand diagram formed by the complex number z ,i za n dz+i z is 1/2|z|^2

Show that the area of the triangle on the Argand diagram formed by the complex number z ,i za n dz+i z is 1/2|z|^2