F_-_Dot_Product

# F_-_Dot_Product - Force Vectors Force Vectors Dot Product...

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Unformatted text preview: Force Vectors Force Vectors Dot Product Dot Product LEARNING OBJECTIVES LEARNING OBJECTIVES Be able to determine an angle between Be able to determine an angle between two vectors. two vectors. Be able to determine the projection of a Be able to determine the projection of a vector along a specified line. vector along a specified line. PRE-REQUISITE KNOWLEDGE PRE-REQUISITE KNOWLEDGE Units of measurements. Units of measurements. Trigonometry concepts. Trigonometry concepts. Vector concepts. Vector concepts. DOT PRODUCT DOT PRODUCT θ cos B A AB = • Definition of dot product Given the definition 1 k k j k i k k j 1 j j i j k i j i 1 i i = • = • = • = • = • = • = • = • = • DOT PRODUCT DOT PRODUCT θ cos B A AB = • ( 29 ( 29 z z y y x x z y x z y x B A B A B A k B j B i B k A j A i A + + = + + • + + = • B A Note: Dot product turns two vectors into a scalar DOT PRODUCT-EXAMPLE DOT PRODUCT-EXAMPLE ( 29 ( 29 ° =-= →-=-=...
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## This note was uploaded on 07/26/2009 for the course CE 221 taught by Professor Buch during the Spring '08 term at Michigan State University.

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F_-_Dot_Product - Force Vectors Force Vectors Dot Product...

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