Trigonometry Section 6.4
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Transcript of Trigonometry Section 6.4
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Trigonometry Section 6.4Trigonometry Section 6.4
Vectors and Dot ProductsVectors and Dot Products
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Dot ProductDot Product
The dot product of vectors The dot product of vectors uu and and vv is defined as : is defined as :
u.vu.v = = v.uv.u 0.v 0.v == u.(v+w)=u.(v+w)= v.v=v.v= cc(u.v)=(u.v)= Ex 1Ex 1
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More ExamplesMore Examples
Ex 2 & 3Ex 2 & 3 Try the following:Try the following: 1. Find the dot product of <5, 12> and <-3,2>1. Find the dot product of <5, 12> and <-3,2> 2. Find 32. Find 3uu..vv when when uu=<2,2> and =<2,2> and vv=<-3,4>=<-3,4> 3. Use the dot product to find the magnitude 3. Use the dot product to find the magnitude
of of uu=<2, -4>=<2, -4>
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HomeworkHomework
P. 447 1-14P. 447 1-14