Vector Products (Cross Product). Torque F r T F r T F1F1 F2F2.
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Vector Products (Cross Product)
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Transcript of Vector Products (Cross Product). Torque F r T F r T F1F1 F2F2.
Vector Products (Cross Product)
Torque
F
rT
Torque
F
rT
F1
F2
Torque
F
rT
F1
F2
||T|| = ||F1||x ||r||
Torque
F
rT
F1
F2
||T|| = ||F1||x ||r||
= ||F|| x ||r|| sin
Vector Products
Definition of Cross Product
Interpretation of the Cross Product
a
ba 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
jk
Properties of the Cross Product
Cautions
Coordinate Formula
Application
Scalar Triple Product
Application
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