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Vector Products (Cross Product)
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Torque F r T
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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 b a 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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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 j k
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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
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