# Dot Product Notes

Feb 3rd, 2012
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Purdue University
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Notes from in-class lecture on finding dot products for MA 162. One page single-spaced, includes vector properties, theorem, and other formulas for solving problems.

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12.3 Dot ProductThe dot product is * = a1b1 + a2b2 + a3b3* = a1b1 + a2b2e.g. <1,2> * <-1,3> = (1)(-1) + (2)(3) = 5Vector Properties:1. a*a = |a|^22. a*b = b*a3. a*(b+c) = a*b + a*c4. (C*a)b = C(a*b) = a(C*b)5. 0*a = 0Thm. Let (theta) = angle between a

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