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Unformatted text preview: 12.3 The Dot Product Definition: Dot Product If 1 2 3 , , a a a = a and 1 2 3 , , b b b = b , the dot product of a and b is the number ⋅ a b given by 1 1 2 2 3 3 a b a b a b ⋅ = + + a b . Note that the dot product is not a vector; it is a scalar. It is sometimes called the scalar (inner) product. Don't confuse this with scalar multiplication. You can also find the dot product of twodimensional vectors the same way. Look at the properties on page 797. The TI86 calculator will perform the dot product operation. Access the vector menu. Example: Find the dot product of 2, 1,3 , 1,4, 2 =  = a b ( 2)(1) ( 1)(4) (3)( 2) 2 4 6 12 ⋅ =  +  + =   =  a b Example: Find the dot product of , 2 =  = + a i k b i j . There is a geometric interpretation of the dot product that can be given in terms of the angle between the vectors. Look at Figure 1 on page 797 and...
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This note was uploaded on 01/20/2012 for the course MATH 2057 taught by Professor Estrada during the Fall '08 term at LSU.
 Fall '08
 Estrada
 Scalar, Dot Product

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