Monday 5 June 2017

`u = ` Use the dot product to find the magnitude of u.

The magnitude of a vector `u` is the square root of its product by itself, because


`u*u=||u||*||u||*cos(theta),`


`and theta=0,` `cos(theta)=1.` So



`||u||=sqrt(u*u)=sqrt(lt4,-6gt*lt4,-6gt)=`


`=sqrt(4*4+(-6)*(-6))=sqrt(16+36)=sqrt(52)=2sqrt(13) approx 7.2.`


The magnitude of a vector `u` is the square root of its product by itself, because


`u*u=||u||*||u||*cos(theta),`


`and theta=0,` `cos(theta)=1.` So



`||u||=sqrt(u*u)=sqrt(lt4,-6gt*lt4,-6gt)=`


`=sqrt(4*4+(-6)*(-6))=sqrt(16+36)=sqrt(52)=2sqrt(13) approx 7.2.`


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