# Geometric Interpretation of the Cross Product

- Author:
- Kristen Beck

- Topic:
- Parallelogram

## This worksheet illustrates the geometric significance of the cross product. Move the yellow points to adjust the vectors.

What does the vector along the -axis represent?

Note that and are confined to the -plane in this worksheet. How can we be sure that will always point along the -axis?

What does the equality of the two numerical values signify?

Adjust and until their cross product points downward. Now, how big is the *smallest positive* angle from to ?