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PCC PHY 213 - PHY 213 LECTURE NOTES
School name Portland Community College
Course Phy 213- General Physics (calculus)
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Phy 213: General Physics IIIThe Scalar (Dot) ProductTheoryApplicationsHistoryWeb Links & ReferencesPhy 213: General Physics IIIChapter : TopicLecture NotesThe Scalar (Dot) Product•Two vectors can be multiplied to product a scalar resultant, called the scalar (or Dot) product.•When using the magnitudes of the vectors:where  is the angle between vectors A and B•When using vector components:•Useful properties of scalar products:Example: The scalar product of the vectors of force and displacement is used to calculate work performed by the forceA B= A B cosf�r r r r(A and B)r rx yA B=A A� +r rx yB BA B=B A� �r r r r2A A=A�r rˆ ˆˆ ˆ ˆ ˆi i = j j = k k = 1� � �TheoryApplicationsHistoryWeb Links &

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