Complex numbers can be treated as 2D vectors. Try this challenging problem.
ABCD is a square labeled in anti-clockwise order. If B and D represent the complex numbers 1+5i and 5+3i respectively, find the complex numbers represented by A and C.
In complex number loci and geometry, it is good to construct a fairly accurate Argand diagram, so that students can visualise correctly and also check their final answer against the measured dimension.
If we use a compass and ruler we can construct the following:
Of course, we need to work out the exact answer using simple geometry. However, we can compare our final answers with the figure using a ruler and protractor.
So bring along your ruler, compass and protractor for Further maths exam 🙂