1. Vector Products (Cross Product)

2. Torque T r F

3. Torque T r F1 F F2

4. Torque T r F1 F F2
||T|| = ||F1||x ||r||

5. Torque T r F1 q F q F2
||T|| = ||F1||x ||r||
= ||F|| x ||r|| sin q

6. Vector Products

7. Definition of Cross Product

8. Interpretation of the Cross Product
a x b b a

9. Applications of the Cross Product
Constructing Orthogonal Vectors
Area of a Triangle or a Parallelogram
Volume of a Parallelepiped
Moment of Force
Angular Velocity

10. Cross Product of Unit Vectorsz k j y i x

11. Properties of the Cross Product

12. Cautions

13. Coordinate Formula

14. Application

15. Scalar Triple Product

16. Application