Download Cross Product

Vector Products (Cross Product)
Torque
T
r
F

Vector Products
Definition of Cross Product
Interpretation of the Cross Product
(from autograph)
axb
b

a
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
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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
z
k
j
y
i
x
Properties of the Cross Product
Cautions
Coordinate Formula
Application
Scalar Triple Product
Application