Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Areas from Vectors

*This resource is part of "Dotty Grids - Exploring Coordinates and Vectors"*

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?

Or search by topic

Age 11 to 16

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?