Friday 12 September 2014

`u = 6j` Use the dot product to find the magnitude of u.

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


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


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


I suppose that the magnitude of `i` is 1. Then 


`||u||=sqrt(u*u)=sqrt((6i)*(6i))=sqrt(6*6)=6.`


This is the answer.

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


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


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



I suppose that the magnitude of `i` is 1. Then 


`||u||=sqrt(u*u)=sqrt((6i)*(6i))=sqrt(6*6)=6.`


This is the answer.

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