# 8. Cross Product (aka Vector Product) of 2 Vectors

Suppose we have 2 vectors **A** and **B**. These 2 vectors lie on a plane and the unit vector **n** is normal (at right angles) to that plane.

The **cross product** (also known as the **vector product**) of **A** and ** B **** **is given by:

A×B=|A| |B|sinθn

The right hand side represents a **vector** at right angles to the plane containing vectors **A** and **B**.

**Note: **Some textbooks use the following notation for the cross product: **A∧B**.

### Example

In the earlier application involving a cubic box (see Vectors in 3D Application), we had a unit cube that had one corner at the origin. We found that the diagonal vectors **BS** and **CP** meet at an angle of `70.5^@` at the center of the cube.

Using the same unit cube, find the **vector product** of the vectors **BS** and **CP**.

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