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Vector Products (Cross Product). Torque F r T F r T F1F1 F2F2.

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Presentation on theme: "Vector Products (Cross Product). Torque F r T F r T F1F1 F2F2."— Presentation transcript:

1 Vector Products (Cross Product)

2 Torque F r T

3 F r T F1F1 F2F2

4 F r T F1F1 F2F2 ||T|| = ||F 1 ||x ||r||

5 Torque F r T F1F1 F2F2 ||T|| = ||F 1 ||x ||r|| = ||F|| x ||r|| sin   

6 Vector Products

7 Definition of Cross Product

8 Interpretation of the Cross Product a b a x b

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 Vectors x y z i j k

11 Properties of the Cross Product

12 Cautions

13 Coordinate Formula

14 Application

15 Scalar Triple Product

16 Application

17


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