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Cross Product

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Cross Product - Lesson Summary

The understanding of the right handed coordinate system is essential to understand the vector or cross product of two vectors.

Given p → ≠  0 → and  q → ≠ 0 →

Let ϴ be the angle between p → and q → such that: 0o ≤ ϴ ≤ 180o.

Cross product of p → and q → is given by:

p → x q → =  |p → | |q → |  sin ϴ n ^

Where n ^   ⊥ p → and  n ^   ⊥ q →

Since the cross product of two vectors is also a vector, it is also called a vector product.

If p →   = 0 →    ,   ⇒ |p → | = 0      

Similarly, if   q →   = 0 →    ⇒ |q → | = 0   

Thus, if either p → or q → = 0 → ,

 p →   x  q →   = |p → | |q → |  sin ϴ   n ^ = 0 →

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