Vector Products (Dot Product). Vector Algebra The Three Products.

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Presentation transcript:

Vector Products (Dot Product)

Vector Algebra

The Three Products

Work F d

F FhFh FvFv d

F FhFh FvFv d Work = ||F h ||x ||d||

Work F FhFh FvFv d Work = ||F h ||x ||d|| = ||F|| x ||d|| cos  

Dot Product

Work F FhFh d

Application

Theorem

Alternate Definition

Properties of the Dot Product

Length or Magnitude

Application

Angle Between Vectors

Application

Component of Projection v u

Projection of a Vector v u P proj

Application

Direction Cosines

Application

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