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Areas from Vectors

Age 11 to 16
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This resource is part of "Dotty Grids - Exploring Coordinates and Vectors"


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?
 
 

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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