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

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Presentation transcript:

Vector Products (Cross Product)

Torque F r T

F r T F1F1 F2F2

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

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

Vector Products

Definition of Cross Product

Interpretation of the Cross Product a b a x b

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

Cross Product of Unit Vectors x y z i j k

Properties of the Cross Product

Cautions

Coordinate Formula

Application

Scalar Triple Product

Application