Trigonometry Section 6.4Trigonometry Section 6.4

Vectors and Dot ProductsVectors and Dot Products

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

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>

HomeworkHomework

P. 447 1-14P. 447 1-14