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

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

Page 1: Vector Products (Dot Product). Vector Algebra The Three Products.

Vector Products (Dot Product)

Page 2: Vector Products (Dot Product). Vector Algebra The Three Products.

Vector Algebra

Page 3: Vector Products (Dot Product). Vector Algebra The Three Products.

The Three Products

Page 4: Vector Products (Dot Product). Vector Algebra The Three Products.

Work

F

d

Page 5: Vector Products (Dot Product). Vector Algebra The Three Products.

Work

F

Fh Fv d

Page 6: Vector Products (Dot Product). Vector Algebra The Three Products.

Work

F

Fh Fv d

Work = ||Fh||x ||d||

Page 7: Vector Products (Dot Product). Vector Algebra The Three Products.

Work

F

Fh Fv d

Work = ||Fh||x ||d||

= ||F|| x ||d|| cos

Page 8: Vector Products (Dot Product). Vector Algebra The Three Products.

Dot Product

Page 9: Vector Products (Dot Product). Vector Algebra The Three Products.

Work

F

Fh d

Page 10: Vector Products (Dot Product). Vector Algebra The Three Products.

Application

Page 11: Vector Products (Dot Product). Vector Algebra The Three Products.

Theorem

Page 12: Vector Products (Dot Product). Vector Algebra The Three Products.

Alternate Definition

Page 13: Vector Products (Dot Product). Vector Algebra The Three Products.

Properties of the Dot Product

Page 14: Vector Products (Dot Product). Vector Algebra The Three Products.

Length or Magnitude

Page 15: Vector Products (Dot Product). Vector Algebra The Three Products.

Application

Page 16: Vector Products (Dot Product). Vector Algebra The Three Products.

Angle Between Vectors

Page 17: Vector Products (Dot Product). Vector Algebra The Three Products.

Application

Page 18: Vector Products (Dot Product). Vector Algebra The Three Products.

Component of Projection

v

u

Page 19: Vector Products (Dot Product). Vector Algebra The Three Products.

Projection of a Vector

v

u

Pproj

Page 20: Vector Products (Dot Product). Vector Algebra The Three Products.

Application

Page 21: Vector Products (Dot Product). Vector Algebra The Three Products.

Direction Cosines

Page 22: Vector Products (Dot Product). Vector Algebra The Three Products.

Application


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