# The Cross Product

- Author:
- David Richeson

The cross product of two vectors is a vector in that is perpendicular to both . The green plane contains the two vectors

**u**and**v**in**u**and**v**. It is denoted**u**x**v**. Use the applet below to discover the basic properties of the cross product. The questions below the applet are intended to guide your discovery. Note: in the applet below, the vectors**u**and**v**live in**u**and**v**and**u**x**v**is perpendicular to the green plane. "Up" from the green plane corresponds to "out" of the computer display.