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

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

1 Vector Products (Cross Product)

2 Torque F r T

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5 Vector Products

6 Definition of Cross Product

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9 Interpretation of the Cross Product (from autograph) a b a x b

10 A small proof…

11 Small proof continued..

12 The vector CROSS product Results in a NEW vector! As seen on the formula booklet

13 Some examples. But…..you do not NEED to know the matrix algebra, you just need to know how to use the IB formula.

14 You try! Use the IB formula this time:

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18 Applications of the Cross Product Constructing Orthogonal Vectors Area of a Triangle or a Parallelogram Volume of a Parallelepiped Moment of Force Angular Velocity Magnetic and Electric Fields

19 Cross Product of Unit Vectors x y z i j k

20 Properties of the Cross Product

21 Cautions

22 Coordinate Formula

23 Application

24 Scalar Triple Product

25 Application

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