Question

How do you find the magnitude of `<-2,4>` and write it as a sum of the unit vectors?

Answer 1

`|vecr|=2sqrt5`

`<-2,4> =-2hatveci+4hatvecj`

Explanation:

the magnitude of a vector `vecr=( ahatveci+bhatvecj)`

is: `|vecr|=sqrt(a^2+b^2)`

for `<-2,4> =-2hatveci+4hatvecj`

`|vecr|=sqrt(2^2+4^2)=sqrt20=2sqrt5`