Located on the Firebolt Home Page

Calculus Menu
 Home
 Dot Products
 Dot Sample
 Cross Products
 Cross Sample
 Fun Stuff
 About this page


Calculus II Project Title
Cross Products
This page will help you understand the concept of a cross product and how to calculate one.

What is a cross product?
The cross product is an operation between two vectors that returns a vector orthogonal to the two vectors. (In case you forgot orthogonal means that u v = 0). Formally, the cross product takes two input vectors u = u1i + u2j + u3k and v = v1i + v2j + v3k.
It is defined to equal:
u × v = (u2v3 - u3v2)i - (u1v3 - u3v1)j + (u1v2 - u2v1)k

What's special about a cross product?
A cross product has six properties that can be useful in different situations.
  1. u × v = -(v × u)
  2. u × (v + w) = (u × v) + (u × w)
  3. c(u × v) = (cu) × v = u × (cv)
  4. u × 0 = 0 × u = 0
  5. u × u = 0
  6. u (v × w) = (u × v) w
Note: These properties assume c to be a scalar.
Where to from here?
Copyright © 1999 GN of Firebolt Software