Geometric Interpretation of the Cross Product
- Kristen Beck
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 ?