Vector Products (Cross Product). Torque F r T.
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Transcript of Vector Products (Cross Product). Torque F r T.
![Page 1: Vector Products (Cross Product). Torque F r T.](https://reader035.fdocuments.net/reader035/viewer/2022062320/56649f445503460f94c65591/html5/thumbnails/1.jpg)
Vector Products (Cross Product)
![Page 2: Vector Products (Cross Product). Torque F r T.](https://reader035.fdocuments.net/reader035/viewer/2022062320/56649f445503460f94c65591/html5/thumbnails/2.jpg)
Torque
F
rT
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Vector Products
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Definition of Cross Product
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Interpretation of the Cross Product (from autograph)
a
ba x b
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A small proof…
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Small proof continued..
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The vector CROSS product
• Results in a NEW vector!
As seen on the formula booklet
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Some examples
• .
But…..you do not NEED to know the matrix algebra, you just need to know how to use the IB formula.
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You try!
• Use the IB formula this time:
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• .
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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
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Cross Product of Unit Vectors
x
y
z
i
jk
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Properties of the Cross Product
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Cautions
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Coordinate Formula
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Application
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Scalar Triple Product
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Application