vector products (cross product). torque f r t
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Vector Products (Cross Product)
Torque
F
rT
Vector Products
Definition of Cross Product
Interpretation of the Cross Product (from autograph)
a
ba x b
A small proof…
Small proof continued..
The vector CROSS product
• Results in a NEW vector!
As seen on the formula booklet
Some examples
• .
But…..you do not NEED to know the matrix algebra, you just need to know how to use the IB formula.
You try!
• Use the IB formula this time:
• .
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
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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