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

As you move the vectors, notice how the area changes.

**Can you find a formula for the area of a parallelogram if you know the two vectors?**

**Can you explain why your formula works?**

**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?**