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.

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# Category: Complex numbers

## Complex numbers as vectors

## Geometric Progression in Complex Numbers

## Challenging Complex Number problem 2

## Challenging Complex number problem 1

## Challenging Complex number locus problem 1

## Bring your compass, ruler and protractor for exam

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 🙂

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