7.7 Applications of Dot & Cross Product.notebook

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7.7 Applications of Dot & Cross Product.notebook 1 June 01, 2016 Applications of Dot & Cross Product Projections O P Q N θ let If we're interested in the mag. of a projection of one vector onto another...(ie: pulling a wagon, where the direction is horizontal), we can use our formula for projections or components Work: The magnitude of a force applied to an object causing a displacement of the object measured in Newtonmetres or Joules a scalar quantity (no direction) ex think of the wagon.... is the applied force is the displacement is the angle between them w

Transcript of 7.7 Applications of Dot & Cross Product.notebook

7.7 Applications of Dot & Cross Product.notebook

1

June 01, 2016

Applications of Dot & Cross Product

Projections

O

P

QN

θ

let

If we're interested in the mag. of a projection of one vector onto another...(ie: pulling a wagon, where the direction is horizontal),  we can use our formula for projections or components            

Work: ­ The magnitude of a force applied to anobject causing a displacement of the object

­ measured in Newton­metres or Joules­ a scalar quantity (no direction)

ex  think of the wagon....  is the applied forceis the displacementis the angle between them

w

7.7 Applications of Dot & Cross Product.notebook

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Torque (a vector quantity) forcelever

where    is a vector    to      &    "Right­Hand­Rule"

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7.7 Applications of Dot & Cross Product.notebook

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Cross Product Applications

Area of a Parallelogram 

h A A

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7.7 Applications of Dot & Cross Product.notebook

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P.415#3ac, 4 ­ 9