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Vector Products (Cross Product)
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Title: Slide 1 Author: Math Last modified by: Math Dept Created Date: 1/9/2003 4:11:44 AM Document presentation format: On-screen Show Company: BYU Mathematcis – PowerPoint PPT presentation
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Title: Vector Products (Cross Product)
1
Vector Products (Cross Product)
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Torque
T
r
F
3
Torque
T
r
F1
F
F2
4
Torque
T
r
F1
F
F2
T F1x r
5
Torque
T
r
F1
q
F
F2
q
T F1x r F x r sin
q
6
Vector Products
7
Definition of Cross Product
8
Interpretation of the Cross Product
a x b
b
a
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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
10
Cross Product of Unit Vectors
z
k
j
y
i
x
11
Properties of the Cross Product
12
Cautions
13
Coordinate Formula
14
Application
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Scalar Triple Product
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Application
