vector products (cross product). torque f r t f r t f1f1 f2f2
Post on 21-Dec-2015
219 Views
Preview:
TRANSCRIPT
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
top related