The points D and G in an Argand diagram represent the complex numbers 3i and 6 + 7i respectively. DG is in fact a diagonal of the square DFGH. Find the complex numbers represented by F and H.
Monday, April 6, 2015
[JCH2CNAGDH_20150402] Vector Rotation via Complex Numbers
This is a question that tests students’ concept of the geometry complex numbers. The key to solving this question is to understand that multiplying a complex number reiq gives a stretching effect, as well as a rotating effect. The stretch is by r times and the rotation is by q radians anti-clockwise. If r = 1, then there is just rotation and effectively no stretching.