Copyright © University of Cambridge. All rights reserved.

## 'Areas from Vectors' printed from http://nrich.maths.org/

Move the blue points below to change the vectors that define the parallelogram.

See how the area changes.

Explore how the area of the parallelogram changes as you change the vectors.

If you would like some ideas of interesting questions to explore, take a look below.

Is there a formula for the area of a parallelogram if I know the two vectors?

Why does the formula work?

What is the formula in the special case when the parallelogram is a square?

What is special about the areas of the rhombuses you can make?